calculate_rotational_kinetic_energy
Compute rotational kinetic energy for spinning objects using moment of inertia and angular velocity. Calculates KE_rot = (1/2) I ω² for physics analysis and simulations.
Instructions
Calculate rotational kinetic energy: KE_rot = (1/2) I ω².
Energy of rotation. A spinning object has kinetic energy even if
its center of mass is stationary.
Args:
moment_of_inertia: Moment of inertia in kg⋅m²
angular_velocity: Angular velocity magnitude in rad/s
Returns:
Dict containing:
- rotational_ke: Rotational kinetic energy in Joules
Tips for LLMs:
- Total KE = translational KE + rotational KE
- Rolling object has both types of kinetic energy
- Flywheel energy storage uses this principle
Example - Car wheel at highway speed:
result = await calculate_rotational_kinetic_energy(
moment_of_inertia=0.5, # kg⋅m²
angular_velocity=100.0 # rad/s (fast spinning)
)
# KE_rot = 2500 JInput Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| moment_of_inertia | Yes | ||
| angular_velocity | Yes |