PHY 113 C General Physics I 11 AM – 12:15 PM MWF Olin 101...
Transcript of PHY 113 C General Physics I 11 AM – 12:15 PM MWF Olin 101...
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 1
PHY 113 C General Physics I11 AM – 12:15 PM MWF Olin 101
Plan for Lecture 25:1. Comments on Exam 32. Pep talk on preparing for Final Exam3. Comprehensive review – Part I
Bonus attendance points for Lecture 26 – Part II of comprehensive review & course assessment
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 4
Comments on Final Exam It will be comprehensive (covering material
from Chapters 1-22) It is scheduled for 9 AM Dec. 12th in Olin 101 In class format, but there will be no time
pressure May bring equation sheets according to your
vote
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 5
Comments on Exam 3
iclicker questionWhich of the following statements matches your recollections of the exam:
A. It was too hardB. It was too easyC. The Thanksgiving holiday erased all
recollections of the exam
Solutions are now posted:http://users.wfu.edu/natalie/f13phy113/solutions/
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 9
Take home portion of Exam 3 – continued
Two problems with question:1. Round-off error in adiabatic step
2. Error in Lecture 21 notes (now corrected)
2940.01952503
2m0123.0
:processadiabaticFor
5.1/13/1
C
AAC
CCAA
PPVV
VPVP
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 10
Work done on a system which is an ideal gas:
“Adiabatic” (no heat flow in the process process)P
(1.0
13 x
105
) Pa
Pi
Vi Vf
Qif = 0
11
1
i
fiiV
V
iiV
Vfi V
VVPdVVVPPdVW
f
i
f
i
For ideal gas:
PV = PiVi
1
11
f
iii
VVVP
Corrected equations from #21:
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 11
Further comments on adiabatic processes
since:Note
11
11
11
0:processadiabaticFor :amics thermodynoflawFirst
int
1
1
int
int
int
CCAAACAC
C
AAA
V
VAA
V
VAA
V
VAC
CCAAAC
ACACAC
ACACAC
VPVPEW
VVVP
VVP
VdVVPPdVW
VPVPE
WEQWQE
A
C
A
C
A
C
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 13
iclicker question
This problem A. Of all the problems that might appear on the final
exam, this one would be the worst.B. Of all the problems that might appear on the final
exam, this one would not be the worst.C. This example has inspired me to look into designing
better engines or heat pumps.
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 15
In-class portion of Exam 3 -- continued
Ssound
Osound
vvvvff
'
towardaway
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 16
In-class portion of Exam 3 -- continued
VS
f’=560 HzVS
f’=480 Hz
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 17
Hzf
smvff
vvvv
vvvff
vvvff
v
Safter
before
Ssound
Ssound
Ssound
soundafter
Ssound
soundbefore
O
92.516
/38.261666666.1480560
''
''
0case,In this
VS
f’=560 HzVS
f’=480 Hz
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 18
In-class portion of Exam 3 -- continued
N10.616632
31
gVgVF BAB
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 19
In-class portion of Exam 3 -- continued
kg083.1m/s9.8
N10.6166
0
2
gFm
FmgmgF
B
B
B
FB
mg
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 20
In-class portion of Exam 3 -- continued
33 kg/m6666.2166
m0.0005kg083.1
Vm
solid
iclicker questionA. This density seems correct.B. This density seems wrong.
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 21
In-class portion of Exam 3 -- continued
ffo TCTC
iCi QQQQQ
ooo 100water 0icemeltedicemelt 00.5-ice0
CT
TTQo
f
ff
04.60
10041867.0041862.03330002.05.0020902.00
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 22
In-class portion of Exam 3 -- continued
ffo TCTC
iCi QQQQQ
ooo 100water 0icemeltedicemelt 010-ice
0
kgm
mmmQ76.0
1001041868.0010418633300010020900
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 23
Back to the discussion of the Final exam:
iclicker question
What is the purpose of the Final Exam?A. Pure pain and sufferingB. Assessment of student learningC. Gateway to medical school or other
professional careerD. Help students to “solidify” knowledge of
physics and further develop problem solving skills
E. All of the these
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 24
iclicker question
How many equation sheets should you prepare for Final Exam?
A. 0B. 1C. 2D. 3E. 4
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 25
General advice on how to prepare for Final Exam
Review fundamental concepts and their corresponding equations
Develop equation sheet(s) that helps you solve example problems on all of the material. You can assume that empirical constants and parameters will be given to you; they need not take up space on your equation sheet.
Practice problem solving techniques. If you discover unanswered questions, please
contact me.
12/93/2013
Advice:
1. Keep basic concepts and equations at the top of your head.
2. Practice problem solving and math skills
3. Develop an equation sheet that you can consult.
Equation Sheet
dtddtdm
rv
va
aF
Problem solving skills
Math skills
26PHY 113 C Fall 2013 -- Lecture 25
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 27
Problem solving steps
1.Visualize problem – labeling variables2.Determine which basic physical principle(s) apply3.Write down the appropriate equations using the variables defined in step 1.4.Check whether you have the correct amount of information to solve the problem (same number of knowns and unknowns).5.Solve the equations.6.Check whether your answer makes sense (units, order of magnitude, etc.).
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 28
Specific review material -- standing sound waves
General wave equation:
),(
2
22
2
2
xyc
ty
txyy
wave propagation distance
time
wave speed
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 29
Specific review material -- standing sound waves
Periodic wave:
cfftxytxy
cTT
txytxy
φλ
π2sin),(
or
λφλ
π2sin),(
0
0
cTT
txytxy
λφλ
π2sin),( 0
Periodic traveling waves:
Amplitude
wave length (m)
period (s); T = 1/f
phase (radians)
velocity (m/s)
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 30
Ttxytxy
Ttxytxy leftright λ
π2sin),(λ
π2sin),( 00
Ttxytxtxy leftright
π2cosλπ2sin2),(y),( 0
“Standing” wave:
Combinations of waves (“superposition”)
BABABA 21
21 cossin2sinsin
: thatNote
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 31
Specific review material -- standing sound waves
open-open open-closed
y(x,t) is density fluctuations in the airv=vsound 343 m/s
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 32
Specific review material -- standing string waves (which can couple to sound) L
Lv
nv
f
nnL
string
n
stringn
n
2
....3,2,12
12/93/2013 PHY 113 C Fall 2013 -- Lecture 25 33
iclicker questionHow can we hear a standing wave on a string?
A. The string couples to the air to produce a sound wave at the same wavelength
B. The string couples to the air to produce a sound wave at the same frequency
C. You cannot hear a standing wave on a string
pv
Tv
sound
string