calculate_angular_acceleration
Calculate angular acceleration from torque and moment of inertia using α = τ/I. Determine rotational acceleration for motors, flywheels, and spinning objects.
Instructions
Calculate angular acceleration: α = τ / I.
Angular acceleration is the rotational equivalent of linear acceleration.
Determined by net torque and moment of inertia.
Args:
torque: Torque magnitude in N⋅m
moment_of_inertia: Moment of inertia in kg⋅m²
Returns:
Dict containing:
- angular_acceleration: α in rad/s²
Tips for LLMs:
- Rotational version of F = ma → τ = Iα
- Larger I means slower angular acceleration for same torque
- Use for: motor acceleration, spinning up flywheels
Example - Motor accelerating a wheel:
result = await calculate_angular_acceleration(
torque=10.0, # N⋅m
moment_of_inertia=0.5 # kg⋅m²
)
# α = 20 rad/s²Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| torque | Yes | ||
| moment_of_inertia | Yes |