Angular Momentum Calculator computes the angular momentum of a rotating object based on its moment of inertia and angular velocity. Select the object type, input the mass, dimensions, angular velocity, select units, and calculate the angular momentum.

How to Use Angular Momentum Calculator:

1. Select the object type (e.g., Point Mass, Solid Sphere, Thin Disk, Thin Rod).
2. Enter the mass, dimension (radius or length), and angular velocity using the keypad or direct input; use “Next” to switch fields.
3. Select appropriate units for mass (kg, g), dimension (m, cm, mm), and angular velocity (rad/s, rpm).
4. Click “Calculate” to see step-by-step results.
5. Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.

Formula:

Angular Momentum (L):

Where: L = angular momentum (kg·m²/s), I = moment of inertia (kg·m²), ω = angular velocity (rad/s)

Moment of Inertia (I) depends on object type:

• Point Mass: I = m × r²
• Solid Sphere: I = 2/5 × m × r²
• Thin Disk: I = 1/2 × m × r²
• Thin Rod about Center: I = 1/12 × m × l²

Important Notes:

• Inputs for mass and dimension (radius or length) must be positive. Angular velocity can be positive or negative (indicating direction). Invalid inputs will trigger an error.
• The calculator assumes the object rotates about the specified axis (e.g., center for rod, symmetry axis for disk/sphere).
• Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.