Analogies

We've looked at several analogies between straight-line motion and rotational motion, including:

VariableStraight-line motionRotational motionConnection
Displacement x θ
θ =
x
r
Velocity v ω
ω =
v
r
Acceleration a α
α =
at
r
Produces motion F τ τ = r × F
Inertia m I I = r2 dm
Second Law ΣF = ma Στ = I α
Momentump = mv L = Iω L = r × p
Impulse Δp = F Δt ΔL = τ Δt
Work

W = F d

W = τ Δθ
Kinetic Energy K = ½ mv2 K = ½2
Power

P = F v

P = τ ω