| Quantity | Dimensions | SI Unit |
|---|---|---|
| Angular velocity omega | [T^{-1}] | rad/s |
| Angular acceleration alpha | [T^{-2}] | rad/s^2 |
| MOI (I) | [ML^2] | kg*m^2 |
| Torque (tau) | [ML^2T^{-2}] | N*m |
| Angular momentum (L) | [ML^2T^{-1}] | kg*m^2/s |
| Rotational KE | [ML^2T^{-2}] | J |
| Radius of gyration (k) | [L] | m |
Note: Torque and energy share the same dimensions but are physically different (torque is a vector, energy is a scalar).