We've looked at several analogies between straight-line motion and rotational motion, including:
| Variable | Straight-line motion | Rotational motion | Connection |
|---|---|---|---|
| Displacement | x | θ | θ = x/r |
| Velocity | v | ω | ω = v/r |
| Acceleration | a | α | α = a/r |
| Produces motion | F | τ | τ = r × F |
| Inertia | m | I | I = ∫ r2 dm |
| Second Law | ΣF = ma | Στ = I α | |
| Work | W = F • d | ?? | |
| Kinetic Energy | K = ½ mv2 | ?? |