Dimensional formula of moment of inertia

Moment of inertia
[M L2]
Written in full: [M¹ L² T⁰ A⁰ K⁰]

How to derive it

Moment of inertia = Mass × (Distance from axis)²

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

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

SI unit

The SI unit of moment of inertia is kg·m².

Same dimensions as moment of inertia

None of the other quantities on this site share these exact dimensions.

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More from Rotational motion

QuantityFormula
Angular velocity[T−1]
Angular acceleration[T−2]
Torque[M L2 T−2]
Angular momentum[M L2 T−1]