Physics Formula Sheet
Mechanics
v2
ac = r
1
x = x0 + vx0t + 2 axt2
v = v0 + at
1
2
αt
2
θ = θ0 + ω0t +
ω = ω0 + αt
ΣF Fnet
a= m = m
2π 1
T=
=
ω
ƒ
Ffriction ≤ µ FNormal
ν = ƒλ
2
x0
PEspring =
Tspring = 2π
C = circumference
d = distance
E = energy
ƒ = frequency
F = force
Fgravity = mg
τ=r×F
PEgravity = -G
L=Iω
ρ=
Fgravity
∆L = τ∆t
h = height
m1m2
=G
r2
∆p = F∆t
∆E = W = Fdcosθ
b = base length
ℓ
g
Tpendulum = 2π
τ
Στ
= net
α=
I
I
∆PE = mg∆y
A = Area
m
k
x = Acos(2πƒt)
1
2
mv
2
A = amplitude
1
2
kx
2
p = mv
KE =
a = acceleration
Fspring = k x
v - v = 2a(x - x0)
2
x
Variables
I = current
I = rotational inertia
KE = kinetic energy
m1m2
r
m
V
KE =
q1q2
r2
1
I
2
P = power
2
ω
p = momentum
r = radius
ρℓ
R= A
R = resistance
S = surface area
T = period
P = I ∆V
1
Rseries = R1 + R2 + ... + Rn
RParallel
=
t = time
1
1
1
+
+ ... +
R1
R2
Rn
PE = potential energy
V = electric potential
V = volume
Geometry
Rectangle
A = bh
Rectangular Solid V = ℓwh
Circle
A = πr
C = 2πr
Cylinder V = πr ℓ
S = 2πrℓ + 2πr2
Triangle A = 1
bh
2
Sphere
2
2
4
3
πr
3
V=
S = 4πr 2
a
θ
c2 = a2 + b2
v = velocity
w = width
W = work
x = position
y = height
Trigonometry
c
ℓ = length
q = charge
∆V = IR
∆q
I = ∆t
L = angular momentum
m = mass
Electricity
FE = k
k = spring constant
α = angular acceleration
sinθ =
a
b
a
cosθ =
tanθ =
c
b
c
b
λ = wavelength
µ = coefficient of friction
ν = wave speed
θ = angle
θ
0°
30°
37°
45°
53°
60°
90°
sinθ
0
1/2
3/5
2/2
4/5
3/ 2
1
cosθ
1
3/ 2
4/5
2/2
3/5
1/2
0
τ = torque
tanθ
0
3/ 3
3/4
1
1
3
∞
ω = angular speed
ρ = density
ρ = resistivity