Angular momentum

L=IωL=I\omega

Result unit: kg·m²/s (= J·s)

What it describes

A measure of the "amount of rotational motion" of a body; conserved when no external torque acts.

Symbols

LL
angular momentum
[kg·m²/s]
II
moment of inertia
[kg·m²]
ω\omega
angular velocity
[rad/s]

Where it comes from

The rotational counterpart of momentum. It is conserved when no external torque acts — that is why a skater who pulls their arms in (smaller II) spins faster (larger ω\omega).

When to use it

Rotational motion, conservation of angular momentum.

Example

A rigid body with I=2I=2 kg·m² rotates at ω=3\omega=3 rad/s. Calculate the angular momentum.
SubstitutionI=2I=2, ω=3\omega=3.
ResultL=2⋅3=6L=2\cdot3=6 kg·m²/s.

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