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Angular Momentum Calculator

Physics
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Calculates the rotational equivalent of linear momentum using the formula L = Iω or L = r x p, where L is angular momentum, I is the moment of inertia, ω is the angular velocity, r is the radius, and p is the linear momentum.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Moment of Inertia (I), Angular Velocity (ω), Radius (r), and Linear Momentum (p) in the units shown.

Step 2

Read Angular Momentum (L) from r and p and Angular Momentum (L) from I and ω in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1: Rotating object

Moment of Inertia (I): 2 kg⋅m²; Angular Velocity (ω): 3 rad/s; Radius (r): 1 m; Linear Momentum (p): 2 kg⋅m/s

Angular Momentum (L) from r and p: 2 kg⋅m²/s; Angular Momentum (L) from I and ω: 6 kg⋅m²/s

Example 2: Increased angular velocity

Moment of Inertia (I): 1 kg⋅m²; Angular Velocity (ω): 5 rad/s; Radius (r): 1 m; Linear Momentum (p): 2 kg⋅m/s

Angular Momentum (L) from r and p: 2 kg⋅m²/s; Angular Momentum (L) from I and ω: 5 kg⋅m²/s

Example 3: Small radius

Moment of Inertia (I): 1 kg⋅m²; Angular Velocity (ω): 2 rad/s; Radius (r): 0.5 m; Linear Momentum (p): 2 kg⋅m/s

Angular Momentum (L) from r and p: 1 kg⋅m²/s; Angular Momentum (L) from I and ω: 2 kg⋅m²/s

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