Angular Momentum Calculator

Calculate angular momentum from moment of inertia and angular velocity.

This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.

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How to Use the Angular Momentum Calculator

Enter the moment of inertia in kg m2 and the angular velocity in radians per second. The calculator instantly computes the angular momentum. Results update in real time as you adjust the inputs.

About Angular Momentum

Angular momentum (L) is a fundamental quantity in rotational mechanics, defined as the product of the moment of inertia and angular velocity. It is the rotational analog of linear momentum. Conservation of angular momentum is one of the key principles in physics, governing everything from spinning tops to orbiting planets. When no external torque acts on a system, its total angular momentum remains constant.

Frequently Asked Questions

What is angular momentum?

Angular momentum is the rotational equivalent of linear momentum. It measures how much rotational motion an object has and equals the moment of inertia times the angular velocity.

Is angular momentum conserved?

Yes. In a closed system with no external torques, angular momentum is conserved. This principle explains why ice skaters spin faster when they pull their arms in.

What are the units of angular momentum?

The SI unit of angular momentum is kilogram meters squared per second (kg m2/s), which can also be written as joule-seconds (J s).