Angular Momentum Calculator

Calculate the angular momentum (L) of a rotating object with our free physics calculator. Enter mass and velocity to find momentum, angular velocity, and kinetic energy.

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Vector Addition

L1 (kg·m/s): L2 (kg·m/s):

L_total = 0

How to Calculate Angular Momentum

Angular momentum (L) is the rotational equivalent of linear momentum and is calculated with the formula L = m × v. This calculator determines L based on your inputs for mass and velocity and also provides related values like angular velocity (ω) and kinetic energy (J).

Example

A 10 kg disk is spinning at a tangential velocity of 5 m/s at its edge (radius = 0.5 m).

Angular Momentum (L): 10 kg × 5 m/s = **50.0 kg·m/s**
Angular Velocity (ω): 5 m/s / 0.5 m = **10.0 rad/s**
Kinetic Energy (J): 0.5 × 10 kg × (5 m/s)² = **125 J**

FAQs

What's the difference between linear and angular momentum?

Linear momentum (p) is a vector: p = m*v. Angular momentum (L) is also a vector: L = r×p. They are related by the radius vector r.

Disclaimer

This angular momentum calculator is for educational purposes only. For academic work or engineering applications, consult with your instructor or a qualified physicist.