Angular Momentum Calculator

Free calculate the rotational equivalent of linear momentum for rotating objects. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Rotational inertia of the object

For point mass: I = mr²

Results

Enter parameters to calculate angular momentum

Angular Momentum Formula

Formula

L = I × ω

For point mass:

L = m × r² × ω

Where:

  • • L = angular momentum (kg⋅m²/s)
  • • I = moment of inertia (kg⋅m²)
  • • ω = angular velocity (rad/s)
  • • m = mass (kg)
  • • r = radius (m)

Moment of Inertia Examples

  • • Point mass: I = mr²
  • • Solid sphere: I = 2mr²/5
  • • Solid cylinder: I = mr²/2
  • • Thin rod (center): I = ml²/12
  • • Thin ring: I = mr²

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