Mechanics

Angular Momentum

L=IωL = I\omega

Rotational analog of linear momentum.

Variables

L
Angular momentum
Rotational momentum
kg·m²/s
I
Moment of inertia
Rotational inertia
kg·m²
ω
Angular velocity
Rate of rotation
rad/s

Derivation

L = Iω (compare p = mv).

Your notes

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Common questions

What is the Angular Momentum formula?

Angular Momentum is written L = Iω. Rotational analog of linear momentum. It belongs to Mechanics, under Rotational Motion.

What are the units in L = Iω?

In SI units, L is angular momentum, measured in kg·m²/s; I is moment of inertia, measured in kg·m²; ω is angular velocity, measured in rad/s.

How is the Angular Momentum formula derived?

L = Iω (compare p = mv). The result is L = Iω.