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Part of JME-04 — Rotational Motion & Moment of Inertia

Dimensional Check for Rotational Quantities

by Notetube Official•formula_sheet summary•120 words•4 views

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).

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