Rigid Body Rotation Calculator
Rigid Body Rotation Calculator computes the moment of inertia, angular momentum, and rotational kinetic energy for a rigid body rotating about a fixed axis. Select the shape, input the mass, radius, and angular velocity, choose their units, and calculate the results.
Enter Parameters
How to Use Rigid Body Rotation Calculator:
- Select the shape of the rigid body (e.g., point mass, solid disk, thin hoop).
- Enter the mass, radius, and angular velocity using the keypad or direct input; use “Next” to switch fields.
- Select appropriate units for mass (e.g., kg, g) and radius (e.g., m, cm, mm).
- Click “Calculate” to see step-by-step results.
- Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.
Formulas:
Moment of Inertia (I):
I = k M R² (k = 1 for point mass, 1/2 for solid disk, 1 for thin hoop)
Angular Momentum (L):
L = I ω
Rotational Kinetic Energy (K):
K = 1/2 I ω²
Where: M = mass (kg), R = radius (m), ω = angular velocity (rad/s)
Important Notes:
- Inputs for mass and radius must be positive numbers. Invalid inputs will trigger an error.
- The calculator assumes rotation about a fixed axis through the center, perpendicular to the plane of rotation.
- Moment of inertia depends on the shape; select the appropriate shape for accurate results.
- Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.