f11-physics 231 lectures 29-38lynch/phy231_2011/lecture38.pdf · waves • traveling waves vwave =...
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Review 3
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Final Exam
A fi l ti i h d l d f ll ti f Ph i 231• A common final exam time is scheduled for all sections of Physics 231 • Time: Wednesday December 14, from 8-10 pm. • Location for section 002 : BPS 1410 (our regular lecture room). • This information can also be found on our course schedule page
• An alternate exam time will be scheduled for students who have• An alternate exam time will be scheduled for students who have conflicts with the regular time. – Two students have confirmed conflicts with me and will take the
exam thenexam then.
– You must contact me by email and obtain permission from me to take the exam at the alternate time. If you fail to do this, you will b b d f ki h l fi lbe barred from taking the alternate final exam.
– RCPD students should arrange to take their final exam at Bessey.• Alternate time: Tuesday December 13, from 1-3 pm• Location: BPS 1410 (this room)
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Physics 231 Lecture 24
• Main points of today’s lecture:• Buoyancyy y
• Bernouli’s equation21P ++
gVWF displacedfdisplacedB ρ==
0200
2
21
2
gyvP
gyvP fff
ρρ
ρρ
++=
++
• Viscous flow
• Poisseuille’s law
2
dAvF η=
( )L
PPRtV
ηπ
821
4 −=ΔΔ
-
Physics 231 Lecture 25• Main points of today’s lecture:p y• Bernoulli’s equation
2
21 gyvP fff ρρ ++2008 Exam Prob. 12
• Viscous flow and Poisseuille’sl
0200 2
1 gyvP ρρ ++=2010 Exam Probs. 8, 9,
law
dAvF η=
( )L
PPRtV
ηπ
821
4 −=ΔΔ
• Transverse and longitudinal waves
• traveling waves λfvwave =• Wave speed for a string
μFv =
h.mass/lengt theis and tension string theis Here
μ
μF
-
1
0200
2
21
21
gyvP
gyvP fff
ρρ
ρρ
++=
++
000 2gyρρ
-
• Main points of today’s lecture:Physics 231 Lecture 26
• Viscous flow and Poisseuille’slaw
dAvF η=
( )L
PPRtV
ηπ
821
4 −=ΔΔ
2008 Exam Prob. 22 • Transverse and longitudinal
waves• traveling waves λfvwave =
d t η82010 Exam Probs. 21
g• Wave speed for a string
μFv =
h.mass/lengt theis and tension string theis Here
μ
μF
• Superposition and interference of waves; Reflection of waves.
• Sound waves:
I
• Sound intensity:• I=P/A, I0=1x10-12 W/m2
=
010log10 I
Iβ
-
λfvwave =
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Physics 231 Lecture 27
• Concepts for today’s lecture”• Wave speed for a string
F / F t i / L2008 Exam Prob. 23
F
• Sound intensity
=
010log10 I
Iβ
v F / : F =tension; m / L.μ μ= =2010 Exam Probs. 22
tension string theis HereμF
Fv =• I=P/A, I0=1x10-12 W/m2
• Spherical wavesPI =
0
h.mass/lengttheisand μ
• Dopper shift
24 rI
π=
+ ovvƒƒ'
−
=s
o
vvƒƒ'
-
S d i t it• Sound intensity
• I=P/A, I0=1x10-12 W/m
=
010log10 I
Iβ
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Physics 231 Lecture 28
• Concepts for today’s lecture”• Spherical waves
PI =2008 Exam Prob. 24
• Dopper shift
24 rI
π=
+
2010 Exam Probs. 23
• Interference of sound waves
−+=
s
o
vvvvƒƒ'
• Standing waves on string: edestructiv )2/1(0,1,2)(n veconstructi
21
21
λλ
+=−==−
nLLnLL
g g
,,1,2,3, 2 2 n
=== nnL
Lnvfn λ
-
+= ovvƒƒ'
− svv
ƒƒ
-
• Main points of today’s lecture:Physics 231 Lecture 29 • Main points of today s lecture:• Temperature
Physics 231 Lecture 29
0celcius farenheit
5T (T 32 )9
= −2008 Exam Prob.
• Thermal expansion
celcius farenheit
celcius kelvin
( )9
T T 273.15= −2010 Exam Probs. 10
p
• Ideal gas properties:TVV
TAATLLΔ=Δ
Δ=ΔΔ=Δ
0
0 ; ;β
γα
• Ideal gas properties:
KENvmNP
TNknRTPV B212 2 ==
==
TkEKKE
KEV
vmV
P
B23
323
=≡
=
=
2
-
TVVTAATLL
Δ=ΔΔ=ΔΔ=Δ 0 ; ;
βγα
TVV Δ=Δ 0β
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Physics 231 Lecture 30 2008 Exam Probs. 13, 14, 152010 b 13 14Lecture 30 2010 Exam Probs. 13, 14,
• Main points of today’s lecture:• Ideal gas law: BPV nRT Nk T= =
• Heat and heat capacity: TcmQ Δ=
2B
2 N 1 2 N 3P m v KE ; KE KE k T3 V 2 3 V 2 = = ≡ =
B
Heat and heat capacity:• Work in thermodynamic processes:• First Law of Thermodynamics:
TcmQ Δ=VPWsystem Δ=VPQU Δ−Δ=Δ
-
TcmQ Δ=
-
BPV nRT Nk T= =
-
M i i f d ’ l
Physics 231 Lecture 31
• Main points of today’s lecture:• Heat and heat capacity:
TcmQ Δ=2008 E P b • Phase transitions and latent heat:
• Mechanisms of heat flowmLQ Δ=
2008 Exam Probs.2010 Exam Probs. 12
Mechanisms of heat flow.• Conductive heat flow
( )TTkAQH 12 −=Δ=• Examples of heat conductivity, R
values for insulators
LtΔ
iii kLR /=
-
TcmQ Δ=
mLQ Δ=
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M i i f d ’ l
Physics 231 Lecture 32
• Main points of today’s lecture:• Heat flow
( )TTkAQH 12 −=Δ=2008 E P b 16 17• Examples of heat conductivity, R
values for insulators
LtH =
Δ=2008 Exam Probs. 16, 17
2010 Exam Probs. 11
• Convection
iii kLR /=
• Convection• Radiation
4AeTP = σ
• Work in thermal processes:)/(5.67x10 where 48- KAW ⋅=σ
systemW P V= Δsystem
-
4
)/(5.67x10 where
48-
4
KAWAeTP
⋅==
σσ
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M i i f d ’ l
Physics 231 Lecture 33
• Main points of today’s lecture:• Work in thermodynamic
processes:2008 E P b 18 19
• First Law of Thermodynamics:VPWsystem Δ=
VPQU Δ−Δ=Δ
2008 Exam Probs. 18, 192010 Exam Probs. 15
• Specific heat at constant pressure• Processes
cyclic:
VPQU ΔΔΔ
0=Δ=Δ=Δ TVP– cyclic:– isobaric:– isovolumetric: 0=ΔV
0=ΔP0=Δ=Δ=Δ TVP
– isothermal:– adiabatic:
0=ΔT0=ΔQ
-
systemW P V
P is constant
= Δ
for isobaricprocesses
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M i i f d ’ l
Physic 231 Lecture 34
• Main points of today’s lecture:• Cycles• Reversible and irreversible
2008 E P b processes.• Carnot cycle and Carnot engine.
W
2008 Exam Probs. 2010 Exam Probs. 16
T is in Kelvin
eng h c c
h h h
W T T T1
Q T T−
= = = −e
– T is in Kelvin. • Engines and refrigerators.• Entropy:
iblQreversibleQST
Δ =
-
eng h c c
h h h
W T T T1
Q T T−
= = = −e
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