General Physics I Final Exam Formula Sheet Page 2

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Sound and waves:
Simple Harmonic Motion:
v
= 340 m/s
T = 2π √(m/k) (mass on a spring)
sound in air
I = Energy /(Area*t) = Power / Area
T = 2π √(L/g) (simple pendulum)
2
Intensity ~ Amplitude
f = 1 / T
β = (10 dB) log (I / I
)
ω = 2 π f =2 π /T
0
-12
2
2
I
= 10
W/m
E=½ k A
0
v = λf
x=A cos(ωt);
v= – A ω sin(ωt)
2
f = 1 / T
F= – kx;
a=F/m= – A ω
cos(ωt)
2
2
2
v
= √(F / µ), µ = m/L
K=½ m v
= ½ K A
sin
(ωt)
wave on string
2
2
2
U=½ k x
= ½ k A
cos
(ωt)
th
N
Harmonic wavelength on a string: Nλ
=2L
N
2
v
= A ω ;
a
= A ω
th
a
N
Harmonic frequency on
string: f
=Nv/2L
max
max
N
Doppler Effect:
P = F / A
Thermodynamics:
Fluids:
∆L = α L
∆T
0
ρ = m / V
∆V = β V
∆T,
for solid β =3 α
0
P = P
+ ρgh
Q = C ∆T = m c (T
–T
)
atm
f
i
5
P
= 1.013 × 10
Pa
1 cal = 4.186 J;
1Cal=1000 cal
atm
F
= ρ
V
g
Q
/ t = k A (∆T/L)
b
fluid
\sub
conduction
4
4
/ t = e σ Α (T
A
v
= A
v
Q
–T
)
1
1
2
2
radiation
surrounding
2
P + ½ρv
+ ρgy = constant
Heat needed for phase change Q = m L
Temperature Conversions:
∆S= ∆Q/T
T=T
= T
+ 273.15
Heat Engine:
K
C
T
= (5/9) [T
– 32]
W = Q
– Q
C
F
h
c
T
= (9/5) T
+ 32
e = W / Q
= 1– Q
/ Q
≤ e
= 1– T
/ T
F
C
h
c
h
max
c
h
Carnot’s Engine: Q
/ Q
= T
/ T
c
h
c
h
Refrigerator or Heat Pump:
W = Q
– Q
= Q
(1– Q
/ Q
)
h
c
h
c
h
Ideal Heat pump: Q
/ Q
= T
/ T
c
h
c
h
Ideal Gas Law:
COP = Q
/ W or COP=Q
/ W
c
h
PV = NkT = nRT
R = 8.31 J / (mol·K)
–23
k = 1.38 × 10
J/K
U
= (3/2) NkT =(3/2) nRT
∆ U
=Q – W
internal
internal
W=P ∆V

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