| Translation | Rotation |
|---|---|
| Mass (m) | MOI (I) |
| Force (F) | Torque (tau) |
| p = mv | L = Iomega |
| F = ma | tau = Ialpha |
| KE = \frac{1}{2}$$mv^2 | KE = \frac{1}{2}$$Iomega^2 |
| W = Fs | W = tau*theta |
| P = Fv | P = tau*omega |
| Impulse = Ft | Ang. impulse = tau*t |
| s = ut + \frac{1}{2}$$at^2 | theta = t + alpha |
| = + 2as | = + 2alphatheta |
This table is the master key to rotational mechanics — every translational concept has a direct rotational analogue.