Physics

Angular Momentum Calculator

Find angular momentum from moment of inertia and angular velocity.

Parameters Live Compute
Calculated Output
Angular momentum (kg·m²/s) 10
Formula: L = I·ω
Step-by-Step Breakdown
1. Values used:
2. Moment of inertia = 2 kg·m²
3. Angular velocity = 5 rad/s
4.
5. Angular momentum = Moment of inertia x Angular velocity = 2 x 5 = 10kg·m²/s
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Angular momentum is the rotational equivalent of linear momentum.

The math behind it

L = I·ω. It is conserved when no external torque acts — why a spinning skater speeds up by pulling in their arms.

Worked Example

I = 2 kg·m², ω = 5 rad/s → L = 10 kg·m²/s.

Frequently Asked Questions

Why does a skater spin faster?

Pulling arms in lowers I, so ω rises to conserve L.

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