Review 3

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)

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 =

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

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

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=

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

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

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