Angular Momentum Calculator

Calculate angular momentum for rotating objects. Apply conservation of angular momentum.

Calculation Type

Shape

Mass (kg)

Radius (m)

Angular Velocity (rad/s)

Angular Momentum

2.5kg*m^2/s

Angular Momentum (L)

0.25kg*m^2

Moment of Inertia (I)

12.5J

Rotational KE

Formula for Solid Disk

I = (1/2)MR^2

Solid disk rotating about central axis perpendicular to disk

Visualization

Angular momentum is the rotational analog of linear momentum. It is conserved in the absence of external torques.

Angular Momentum: L = I * omega

Rotational KE: KE = (1/2) * I * omega^2

Conservation: I1 * omega1 = I2 * omega2

Solid Disk: I = (1/2)MR^2

Solid Sphere: I = (2/5)MR^2

Thin Rod (center): I = (1/12)ML^2

Point Mass: I = MR^2

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