IA Spaghetti lab using force IB Physics HL
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19/10/2011 HL Physics Assia Chelaghma
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Breaking and Bending of Spaghetti Lab
Introduction:
Spaghetti is dry pasta that has chemical and physical properties. It has been investigated in physics
many times to understand its breaking and bending.
When we hold many spaghetti noodles together and try to break them, we find it difficult. But if we
break one noodle, we find it easy. One noodle doesn’t need as much force to break as many noodles
held together. Now, what about the distance between these noodles, does it have any effect on the
force needed to break them?
The force will be in form of masses hanged to the spaghetti noodles.
Research question:
How does the distance between three spaghetti noodles affect it’s the mass needed to break them?
Apparatus:
Spaghetti
Thread
Tape
Masses of 10g
Two thick sticks
Four clumps
Method:
Set up the apparatus shown in the pictures below:
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Put three spaghetti noodles next to each other with no separation.
Stick them to the thick stick using a tape.
Tie a thread around the noodles.
Hang a mass of 10g to the thread.
Keep adding masses until all noodles break and the masses fall down.
Record the mass needed to break the noodles.
Repeat the same steps for three other noodles put apart by 1 cm, 2cm, 3cm and 4cm each
time.
Research Question:
How does the mass needed to break three spaghetti noodles depend on the distance between the
noodles?
Variables:
1. Independent variable: the distance between the three noodles. Each time I will change the
distance between the noodles and see what is the mass needed to break all of them. The
distances were measured by a ruler.
2. Dependent variable: the mass needed to break the three noodles tied together. I will hang a
clump to the thread that ties the noodles, and each time I will add 10g and record at what
mass all the noodles break.
3. Controlled variable: ‘
The same type of spaghetti: I have noticed that spaghetti have many types and
different thicknesses. The substances used to make spaghetti noodles differ so that
may affect the breaking strength of spaghetti and consequently affect the results.
Therefore, only one type of spaghetti is used throughout the experiment.
The height of spaghetti noodles: I made sure to choose noodles of the same height so
that the volume of spaghetti will not have a negative effect on the results.
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The experiment was repeated 5 times for each of 5 different distances ranging from 0cm to 4cm.
The masses clumps wasn’t large enough to hanged to the noodles which are apart by 3 and 4cm so I
decided to attach a tied thread around the three noodles and then attach the mass clump to it.
The time taken to break the spaghetti was ignored in this experiment since I am only concerned in
the relationship between mass and the distance between noodles.
Hypothesis:
When spaghetti noodles are tied together, their breaking is hard since their joining point is in the
middle and acts against the mass and the noodles are bended only in one direction downwards.
I expect that when the distance between noodles increases, the mass needed to break them
decreases. Because it will be harder for the noodles to reach the joining point and they will be bend
in two directions downwards and sideways.
Data collection and processing:
Raw Data:
Below is the table from the 5 trials performed for each of 5 different distances between spaghetti
noodles.
The uncertainty in distance is estimated to be ±0.002m because the distance between noodles was
small easy to measure and control using tape.
Uncertainty in mass was initially estimated to be ±10g because in each trial I added a mass of 10g.
Then, I calculated the uncertainty using the equation:
(𝑀𝑎𝑥 𝑀𝑎𝑠𝑠 − 𝑀𝑖𝑛 𝑀𝑎𝑠𝑠)
2
The percentage uncertainty is calculated using the equation:
(𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 × 100)
𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑚𝑎𝑠𝑠
Since the calculated uncertainty is more significant than the estimated uncertainty, it will be
Distance
/m
±0.002m
Trial 1
/g
±10
Trial 2
/g
±10
Trial 3
/g
±10
Trial 4
/g
±10
Trial 5
/g
±10
Average
/g
±10
Max
/g
±10
Min
/g
±10
Uncertainty
/g
Percentage
Uncertainty
/%g
0.000 310 340 340 370 350 342 370 310 30 9
0.010 250 280 260 260 300 270 300 250 30 9
0.020 210 210 220 230 210 216 230 210 10 5
0.030 170 160 160 180 190 172 190 160 20 9
0.040 160 170 170 170 150 164 170 150 10 6
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considered, and the estimated uncertainty will be ignored.
The mass was taking after the all spaghetti noodles break and the masses fall down.
Processed Data:
I plotted the average mass against the distance between noodles and got this graph:
The graph shows that there is an inverse relationship between mass and distance.
In order to get a straight line that shows a linear relationship between the separation of the noodles
and the mass needed to break them, I will calculated the inverse of mass and then, plot it against
distance.
The percentage uncertainty in inverse mass is the same as percentage in average mass.
The uncertainty of inverse mass is then calculated using the equation:
(𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 × 𝐼𝑛𝑣𝑒𝑟𝑠𝑒 𝑀𝑎𝑠𝑠)
100
The results are shown in the table below:
Distance
/m
±0.002m
Mass
Inverse
/g-1
Uncertainty
/g-1
0.000 0.0029 0.0003
0.010 0.0037 0.0003
0.020 0.0046 0.0002
0.030 0.0058 0.0005
0.040 0.0061 0.0004
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After plotting inverse mass against distance, I got this graph:
The gradient of the graph is: 0.085g-1m-1
The maximum gradient is: 0.097 g-1m-1
The minimum gradient is: 0.063 g-1m-1
The uncertainty is gradient can be calculated from
(max gradient – min gradient)
2=
0.097 − 0.063
2= 0.02
The slope of graph is 0.09g−1m−1 ± 0.02 g−1m−1
Concluding and evaluating:
After performing the experiment and analysing the results, I found that the results supported the
hypothesis, as the distance between the noodles of spaghetti increases, the mass needed to break
them decreases.
After plotting the inverse of mass against the distance, I got a straight line that shows a linear
relationship between the inverse of mass and the separation of spaghetti noodles.
This relationship can be described by the equation:
𝑦 = 𝑎𝑥 + 𝑏 Where 𝑎 and 𝑏 are constants.
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1
𝑚 = 𝑎 𝑑 + 𝑏 Where m is the mass and d is the separation between spaghetti noodles.
So the relation between the mass and the separation between noodles can be given by the equation:
𝟏
𝒎= 𝟎.𝟎𝟖𝟓𝒅 + 𝟎.𝟎𝟎𝟑
Evaluation and conclusion:
The experiment in general was well controlled and gave me sufficient results that show a
relationship between mass and distance. There were some trials which weren’t well controlled and
cause to have inaccurate results, for instance the fourth point on the graph was a bit higher and out
of the best fit.
Weaknesses Effect Improvement
The thread used to tie the
noodles wasn’t changed throughout the experiment.
The thread might be starched
and gained internal energy and acted against the force of the masses.
Cut many thread of equal
height and change the thread used after each trial.
The range investigated is
limited.
Not getting enough data to
know the exact relationship between distance and mass.
Extend the range of distances
investigated.
The masses available are of
minimum 10g.
Large uncertainties. Get masses of small units.