WATS 2 (1-50) Fluid Mechanics and Thermodynamics
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Transcript of WATS 2 (1-50) Fluid Mechanics and Thermodynamics
Fluid Mechanics and ThermodynamicsWeekly Assessed Tutorial Sheets,Student Sheets
Student Sheets: WATS 2.
The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.
The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.
FURTHER INFORMATION
Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard.
There are also explanatory videos on how to use the Wizard and how to implement WATS available at http://www.youtube.com/user/MBRBLU#p/u/7/0wgC4wy1cV0 and http://www.youtube.com/user/MBRBLU#p/u/6/MGpueiPHpqk.
For more information on WATS, its use and impact on students please contact Mark Russell, School of Aerospace, Automotive and Design Engineering at University of Hertfordshire.
© University of Hertfordshire 2009 This work is licensed under a Creative Commons Attribution 2.0 License.
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 1
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 4.20 m high. If the top edge of the door is 3.40 m below the fluids free surface and the fluid has a density of 965 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.98 has partially filled the tank so that its free surface is 1.40 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number1
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 2
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 3.90 m high. If the top edge of the door is 2.10 m below the fluids free surface and the fluid has a density of 805 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.99 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number2
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 3
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 6.60 m high. If the top edge of the door is 3.30 m below the fluids free surface and the fluid has a density of 990 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.97 has partially filled the tank so that its free surface is 1.30 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number3
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 4
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 4.30 m high. If the top edge of the door is 4.70 m below the fluids free surface and the fluid has a density of 875 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.89 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number4
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 5
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 5.60 m high. If the top edge of the door is 4.20 m below the fluids free surface and the fluid has a density of 980 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.96 has partially filled the tank so that its free surface is 2.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number5
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 6
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 5.40 m high. If the top edge of the door is 2.60 m below the fluids free surface and the fluid has a density of 965 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.88 has partially filled the tank so that its free surface is 0.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number6
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 7
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.10 m wide and 6.90 m high. If the top edge of the door is 3.00 m below the fluids free surface and the fluid has a density of 845 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.93 has partially filled the tank so that its free surface is 1.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number7
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 8
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 7.20 m high. If the top edge of the door is 1.50 m below the fluids free surface and the fluid has a density of 980 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.80 has partially filled the tank so that its free surface is 0.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number8
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 9
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.50 m wide and 4.00 m high. If the top edge of the door is 1.70 m below the fluids free surface and the fluid has a density of 935 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.92 has partially filled the tank so that its free surface is 0.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number9
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 10
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 4.20 m high. If the top edge of the door is 3.70 m below the fluids free surface and the fluid has a density of 805 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.94 has partially filled the tank so that its free surface is 1.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number10
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 11
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 4.30 m high. If the top edge of the door is 3.60 m below the fluids free surface and the fluid has a density of 840 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.86 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number11
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 12
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 7.40 m high. If the top edge of the door is 4.10 m below the fluids free surface and the fluid has a density of 890 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.89 has partially filled the tank so that its free surface is 1.20 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number12
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 13
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 6.80 m high. If the top edge of the door is 1.30 m below the fluids free surface and the fluid has a density of 860 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.87 has partially filled the tank so that its free surface is 1.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number13
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 14
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 4.70 m high. If the top edge of the door is 3.30 m below the fluids free surface and the fluid has a density of 970 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.87 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number14
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 15
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 7.20 m high. If the top edge of the door is 2.60 m below the fluids free surface and the fluid has a density of 870 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.99 has partially filled the tank so that its free surface is 1.40 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number15
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 16
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.10 m wide and 7.10 m high. If the top edge of the door is 1.60 m below the fluids free surface and the fluid has a density of 970 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.85 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number16
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 17
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 5.50 m high. If the top edge of the door is 5.00 m below the fluids free surface and the fluid has a density of 920 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.93 has partially filled the tank so that its free surface is 1.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number17
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 18
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 7.10 m high. If the top edge of the door is 2.10 m below the fluids free surface and the fluid has a density of 990 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.99 has partially filled the tank so that its free surface is 1.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number18
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 19
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 4.40 m high. If the top edge of the door is 2.90 m below the fluids free surface and the fluid has a density of 805 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.92 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number19
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 20
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 5.10 m high. If the top edge of the door is 2.80 m below the fluids free surface and the fluid has a density of 920 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.84 has partially filled the tank so that its free surface is 1.10 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number20
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 21
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 5.00 m high. If the top edge of the door is 4.80 m below the fluids free surface and the fluid has a density of 930 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.96 has partially filled the tank so that its free surface is 1.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number21
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 22
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.50 m wide and 5.40 m high. If the top edge of the door is 1.70 m below the fluids free surface and the fluid has a density of 940 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.89 has partially filled the tank so that its free surface is 1.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number22
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 23
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.60 m wide and 3.70 m high. If the top edge of the door is 2.40 m below the fluids free surface and the fluid has a density of 810 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.81 has partially filled the tank so that its free surface is 0.80 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number23
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 24
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.10 m wide and 4.40 m high. If the top edge of the door is 2.60 m below the fluids free surface and the fluid has a density of 840 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.92 has partially filled the tank so that its free surface is 1.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number24
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 25
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.50 m wide and 7.70 m high. If the top edge of the door is 1.30 m below the fluids free surface and the fluid has a density of 835 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.89 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number25
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 26
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 7.30 m high. If the top edge of the door is 2.50 m below the fluids free surface and the fluid has a density of 980 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.97 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number26
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 27
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 7.10 m high. If the top edge of the door is 4.50 m below the fluids free surface and the fluid has a density of 850 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.98 has partially filled the tank so that its free surface is 0.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number27
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 28
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 4.70 m high. If the top edge of the door is 3.40 m below the fluids free surface and the fluid has a density of 950 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.82 has partially filled the tank so that its free surface is 1.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number28
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 29
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.60 m wide and 6.60 m high. If the top edge of the door is 1.20 m below the fluids free surface and the fluid has a density of 830 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.82 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number29
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 30
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 5.00 m high. If the top edge of the door is 1.60 m below the fluids free surface and the fluid has a density of 825 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.90 has partially filled the tank so that its free surface is 1.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number30
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 31
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 4.00 m high. If the top edge of the door is 4.00 m below the fluids free surface and the fluid has a density of 970 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.94 has partially filled the tank so that its free surface is 1.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number31
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 32
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 4.80 m high. If the top edge of the door is 1.60 m below the fluids free surface and the fluid has a density of 895 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.81 has partially filled the tank so that its free surface is 1.40 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number32
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 33
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.60 m wide and 6.00 m high. If the top edge of the door is 3.80 m below the fluids free surface and the fluid has a density of 845 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.92 has partially filled the tank so that its free surface is 1.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number33
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 34
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 4.80 m high. If the top edge of the door is 3.10 m below the fluids free surface and the fluid has a density of 850 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.96 has partially filled the tank so that its free surface is 1.80 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number34
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 35
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 4.90 m high. If the top edge of the door is 4.90 m below the fluids free surface and the fluid has a density of 810 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.92 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number35
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 36
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.70 m wide and 5.30 m high. If the top edge of the door is 1.30 m below the fluids free surface and the fluid has a density of 815 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.99 has partially filled the tank so that its free surface is 0.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number36
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 37
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 5.30 m high. If the top edge of the door is 2.30 m below the fluids free surface and the fluid has a density of 855 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.91 has partially filled the tank so that its free surface is 0.70 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number37
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 38
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.10 m wide and 6.50 m high. If the top edge of the door is 3.70 m below the fluids free surface and the fluid has a density of 810 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.90 has partially filled the tank so that its free surface is 1.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number38
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 39
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 7.80 m high. If the top edge of the door is 2.50 m below the fluids free surface and the fluid has a density of 900 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.98 has partially filled the tank so that its free surface is 0.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number39
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 40
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.60 m wide and 5.80 m high. If the top edge of the door is 4.50 m below the fluids free surface and the fluid has a density of 890 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.99 has partially filled the tank so that its free surface is 1.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number40
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 41
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.00 m wide and 6.10 m high. If the top edge of the door is 2.60 m below the fluids free surface and the fluid has a density of 965 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.98 has partially filled the tank so that its free surface is 1.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number41
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 42
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.10 m wide and 5.60 m high. If the top edge of the door is 3.20 m below the fluids free surface and the fluid has a density of 915 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.88 has partially filled the tank so that its free surface is 1.10 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number42
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 43
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 4.80 m high. If the top edge of the door is 1.50 m below the fluids free surface and the fluid has a density of 960 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.88 has partially filled the tank so that its free surface is 1.50 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number43
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 44
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 7.50 m high. If the top edge of the door is 1.00 m below the fluids free surface and the fluid has a density of 995 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.91 has partially filled the tank so that its free surface is 2.00 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number44
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 45
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.90 m wide and 5.20 m high. If the top edge of the door is 4.70 m below the fluids free surface and the fluid has a density of 935 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.90 has partially filled the tank so that its free surface is 1.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number45
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 46
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 4.80 m high. If the top edge of the door is 1.90 m below the fluids free surface and the fluid has a density of 945 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.93 has partially filled the tank so that its free surface is 0.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number46
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 47
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 6.90 m high. If the top edge of the door is 1.80 m below the fluids free surface and the fluid has a density of 1000 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.80 has partially filled the tank so that its free surface is 1.60 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number47
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 48
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.50 m wide and 6.20 m high. If the top edge of the door is 2.50 m below the fluids free surface and the fluid has a density of 835 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.98 has partially filled the tank so that its free surface is 0.80 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number48
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 49
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 1.20 m wide and 5.80 m high. If the top edge of the door is 4.90 m below the fluids free surface and the fluid has a density of 855 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.89 has partially filled the tank so that its free surface is 0.80 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number49
Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 2.
Student Number 50
Name
Hand out date Hand in date
Q1. i) A rectangular door in the side of a fluid filled tank is 0.80 m wide and 7.40 m high. If the top edge of the door is 3.10 m below the fluids free surface and the fluid has a density of 945 kg/m3 calculate
i) the total force on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
Q2. Assuming now that the tank has been drained of the original fluid and that another fluid of relative density 0.90 has partially filled the tank so that its free surface is 1.90 m below the top of the door. Calculate
i) the total force now acting on the door (kN) (1 mark)ii) the position of the line of action (below the free surface) (m). (1 mark)
iii) If the door is now turned through 90° (i.e. it is still in the side of the tank but its width and height have now been transposed) at what depth would the top edge of the door have to be for the resulting force to be the same as that calculated for Q2 i)? (m)
(1 mark)
iv) Assuming now that the door has been moved so that it is located in the horizontal floor of the tank. Calculate the required depth of fluid in the tank if the door is only to be exposed to the same force as calculated in Q2 i) (m). (2 marks)
Q3. Please provide one hint or tip that would be useful to help future students tackle successfully the problems on this sheet. You will be awarded 3 bonus marks for providing a sensible hint or tip.
WATS 2. Student number50
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