| Translation | Rotation |
|---|---|
| Mass (m) | MOI (I) |
| Force (F) | Torque (tau) |
| p = mv | L = Iomega |
| F = ma | tau = Ialpha |
| KE = (1/2)mv^2 | KE = (1/2)Iomega^2 |
| W = Fs | W = tau*theta |
| P = Fv | P = tau*omega |
| Impulse = Ft | Ang. impulse = tau*t |
| s = ut + (1/2)at^2 | theta = omega_0t + (1/2)alphat^2 |
| v^2 = u^2 + 2as | omega^2 = omega_0^2 + 2alphatheta |
This table is the master key to rotational mechanics — every translational concept has a direct rotational analogue.