Angular momentum = Moment of inertia × Angular velocity
Put in the dimensions of each part: [ML²] × [T⁻¹] = [M L² T⁻¹].
The SI unit of angular momentum is kg·m²/s.
These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:
Can you get today's formula in one try?Play MLT, the free daily dimensional formula game| Quantity | Formula |
|---|---|
| Angular velocity | [T−1] |
| Angular acceleration | [T−2] |
| Torque | [M L2 T−2] |
| Moment of inertia | [M L2] |