Dimensional formula of torque

Torque
[M L2 T−2]
Written in full: [M¹ L² T⁻² A⁰ K⁰]

How to derive it

Torque = Force × Perpendicular distance

Put in the dimensions of each part: [MLT⁻²] × [L] = [M L² T⁻²].

mass (M)
1
length (L)
2
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of torque is N·m.

Same dimensions as torque

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Rotational motion

QuantityFormula
Angular velocity[T−1]
Angular acceleration[T−2]
Moment of inertia[M L2]
Angular momentum[M L2 T−1]