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Crib Sheet for Practice Exam on Introduction to Physics 1 |, Study notes of Physics

Southwestern Illinois CollegePhysics

Material Type: Notes; Class: Physics 1 - Introduction; Subject: Physics; University: Southwestern Illinois College; Term: Forever 1989;

Typology: Study notes

Pre 2010

Uploaded on 12/14/2009

cflanigan
cflanigan 🇺🇸

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bg1
SIPrefixes
106–mega
103–kilo
10‐1–deci
10‐2–centi
10‐3–milli
10‐6–micro
Conversions
1ft0.3048m
1mi1609.344m
1mi/h0.44704m/s
1acre4047m2
640acre1mi2
1m31L
1gal3.785L
1fL1µm3
1m3202900tsp
1hp745.7W
1ftlb1.356Nm
1cal4.186J
1Btu1055J
1Cal4186J1kcal
1Nm1J
1J/s1W1Nm/s
1kWh3.6x106J
1atm101325Pa
1Hz1s‐1
LatentEnergy
QmL
‐ Heating,‐Cooling
HeatTransfer
Q
∆ A|∆|
∆ 
IdealGasLaw
PVNkT
PVnNAkT
PVnRT
nN
NA
m µ
NA
GasEnergy
KE
kT
v T

v RT
µ
InternalGasEnergy
Monoatomic
E
NkTorE
nRTorE
nR∆T
Diatomic
E
NkTorE
nRTorE
nR∆T
Temperature
TF
TC32
TK273.15TC
SourcePower󰇛Intensity󰇜



·10.
Bels
log


Constants
R
.J
·K
NA6.022x1023molecules
k1.38x10‐23J/K
1stLawofThermodynamics
∆EQW
Isobaric󰇛PConstant󰇜
WP∆V
Isochoric󰇛VConstant󰇜
W0
Isothermal󰇛TConstant󰇜
WnRT·ln

WP
V·ln

WP
V·ln

Adiabatic󰇛NoEnergyIn/OutSystem󰇜
∆E W
‐ Q0
Entropy
∆S Q
TL
T
ChangingTemperatureInSinglePhase
∆S ∆T
T
∆S mc·lnT
T
HeatEngine
|QH||W||QC|
HeatEngineEfficiency
Efficiency |W|
|QH|
Efficiency 1󰇻QC
QH󰇻
Efficiency |QH||QC|
|QH|
MaxEfficiency 1 TC
TH
HeatEngineEntropy
∆ST|QH|
TH|QC|
TC 0
Waves
v f · λ
v

vFT
µ
‐ WaveOnAString
v

SoundWaves
v 331 0.6· TC
HarmonicSeries󰇛Half‐Open󰇜
λL

f
L nf

Decibels
󰇛10dB󰇜log

OscillationEnergy
E
k
x󰇛AtExtremes󰇜
E
mv󰇛AtEquilibrium󰇜
v x

v ω·x
mv
kx
‐ ConservingEnergy
OscillationAcceleration
a
x
a ωx
OscillationPhaseFrequency
ω

ω2πf
OscillationFrequency
f
T
f


OscillationPeriod
T2π

OscillationMiscellaneous
xx cos󰇛
Tt󰇜
vω·x ·sinωt
aω·x ·cos󰇛ωt󰇜
PendulumAcceleration
agsinΦ
‐ IfΦ 10°
PendulumHeightFromEquilibrium
yllcosΦ
PendulumPhaseFrequency
ω

PendulumFrequency&Period
f


T2π

PendulumVelocity
v 2gl󰇛1 cosΦ󰇜
PendulumEnergy
PE mgl󰇛1cosΦ󰇜
WaveNumber
k

‐ Units:Radians/Minute
HarmonicSeries󰇛BothEndsFixed/Free󰇜
λL

f
L nf

DopplerEffect
󰇛
 󰇜
‐ SeeNotesForSign
Conventions!!!

Partial preview of the text

Download Crib Sheet for Practice Exam on Introduction to Physics 1 | and more Study notes Physics in PDF only on Docsity!

SI Prefixes 10 6 – mega 10 3 – kilo 10 ‐1^ – deci 10 ‐2^ – centi 10 ‐3^ – milli 10 ‐6^ – micro

Conversions 1 ft ൌ 0.3048m 1 mi ൌ 1609.344m 1 mi/h ൌ 0.44704m/s 1 acre ൌ 4047m^2 640 acre ൌ 1mi^2 1m^3 ൌ 1L 1 gal ൌ 3.785L 1fL ൌ 1μm^3 1m^3 ൌ 202900tsp 1hp ൌ 745.7W 1ft൉lb ൌ 1.356N൉m 1cal ൌ 4.186J 1Btu ൌ 1055J 1Cal ൌ 4186J ൌ 1kcal 1N൉m ൌ 1J 1J/s ൌ 1W ൌ 1N൉m/s 1kWh ൌ 3.6 x 10^6 J 1atm ൌ 101325Pa 1Hz ൌ 1s‐

Latent Energy Q ൌ טmL ‐ ൅ Heating, ‐ Cooling

Heat Transfer Q ∆୲ ൌ^

୩A|∆୲| ∆୶

Ideal Gas Law PV ൌ NkT PV ൌ nN (^) AkT PVൌnRT

n ൌ N N (^) A m ൌ μ N (^) A

Gas Energy

KE ൌ ଷ ଶ kT

v (^) ୰୫ୱ ൌ ට ଷ୩T ୫

v (^) ୰୫ୱ ൌ ට ଷRT μ

Internal Gas Energy Monoatomic

E ൌ ଷ ଶ NkT or E ൌ^

ଷ ଶ nRT or E ൌ^

ଷ ଶ nR∆T

Diatomic

E ൌ ହ ଶ NkT or E ൌ ହ ଶ nRT or E ൌ ହ ଶ nR∆T

Temperature

TF ൌ ଽ ହ TC^ ൅ 32 TK ൌ 273.15 ൅ TC

Source Power ሺIntensityሻ

ൌ ܫ ௉ೞ ସగ௥ మ ܫ ൌ ܫை · 10 ଴.ଵఉ

Bels

ߚൌ log (^) ଵ଴ ூ ூೀ

Constants R ൌ଼ .ଷଵସJ ୫୭୪·K N (^) A ൌ 6.022 x 10 23 molecules k ൌ 1.38 x 10‐23^ J/K

1 st^ Law of Thermodynamics ∆E ൌ Q ൅ W

Isobaric ሺP Constantሻ W ൌ െP∆V

Isochoric ሺV Constantሻ W ൌ 0

Isothermal ሺT Constantሻ W ൌ nRT · ln ୴ (^) ౟ ୴ (^) ౜ W ൌ P୧ V୧ · ln ୴^ ౟ ୴ (^) ౜ W ൌ P୤ V୤ · ln ୴ (^) ౟ ୴ (^) ౜

Adiabatic ሺNo Energy In/Out Systemሻ ∆E ൌ W ‐ Q ൌ 0

Entropy ∆S ൌ Q T ൌ^

୫L T

Changing Temperature In Single Phase ∆S ൌ ୫ୡ∆T T ∆S ൌ mc · ln T (^) ౜ T (^) ౟

Heat Engine |Q (^) H | ൌ |W| ൅ |Q (^) C |

Heat Engine Efficiency Efficiency ൌ |W| |Q (^) H |

Efficiency ൌ 1 െ ቚ Q (^) C Q (^) H

Efficiency ൌ |Q (^) H |ି |Q (^) C | |Q (^) H |

Max Efficiency ൌ 1 െ T (^) C T (^) H

Heat Engine Entropy ∆ST ൌ |Q (^) H | T (^) H൅^

|Q (^) C | T (^) Cൌ 0

Waves v ൌ f · λ v ൌ ஛ ୲ v ൌ ට FT μ ‐ Wave On A String v ൌ ன ୩

Sound Waves v ൌ 331 ൅ 0.6 · TC

Harmonic Series ሺHalf‐Openሻ λ୬ ൌ ସL ୬

f୬ ൌ ୬୴ ସL ൌ nfଵ

Decibels ߚൌ ሺ10dBሻlog (^) ଵ଴ ூ ூೀ

Oscillation Energy E ൌ ଵ ଶ kx (^) ୫ୟ୶ଶ^ ሺAt Extremesሻ E ൌ ଵ ଶ mv^ ୫ୟ୶

ଶ (^) ሺAt Equilibriumሻ

v (^) ୫ୟ୶ ൌ x (^) ୫ୟ୶ ට ୩ ୫ v (^) ୫ୟ୶ ൌ ω · x (^) ୫ୟ୶ ଵ ଶ mv^ ୫ୟ୶

ଶ kx^ ୫ୟ୶

ଶ

‐ Conserving Energy

Oscillation Acceleration a (^) ୫ୟ୶ ൌ ୩ ୫ x (^) ୫ୟ୶ a (^) ୫ୟ୶ ൌ ω ଶ^ x (^) ୫ୟ୶

Oscillation Phase Frequency

ω ൌ ට ୩ ୫ ω ൌ 2πf

Oscillation Frequency f ൌ ଵ T f ൌ ଵ ଶ஠

୫

Oscillation Period

T ൌ 2πට ୫ ୩

Oscillation Miscellaneous x ൌ x (^) ୫ୟ୶ cosሺ ଶ஠ T tሻ v ൌ െω · x (^) ୫ୟ୶ · sin ωt a ൌ െω ଶ^ · x (^) ୫ୟ୶ · cosሺωtሻ

Pendulum Acceleration a ൌ െg sin Φ ‐ If Φ ൏ 10°

Pendulum Height From Equilibrium y ൌ l െ l cos Φ

Pendulum Phase Frequency

ω ൌ ට ୥ ୪

Pendulum Frequency & Period f ൌ ଵ ଶ஠ ට^

୥ ୪

T ൌ 2πට ୪ ୥

Pendulum Velocity v (^) ୫ୟ୶ ൌ ඥ2glሺ1 െ cos Φ (^) ୫ୟ୶ ሻ

Pendulum Energy PE ൌ mglሺ1 െ cos Φሻ

Wave Number k ൌ ଶ஠ ஛ ‐ Units: Radians/Minute

Harmonic Series ሺBoth Ends Fixed/Freeሻ λ୬ ൌ ଶL ୬

f୬ ൌ ୬୴ ଶL ൌ nfଵ

Doppler Effect ݂ ை ൌ ሺ^

௩ט௩ (^) ೚್ೞ೐ೝೡ೐ೝ ௩ט௩ೞ೚ೠೝ೎೐݂ሻ^ ௦ ‐ See Notes For Sign Conventions!!!