calculate_angular_acceleration
Calculate angular acceleration from torque and moment of inertia. Use for rotational motion analysis of motors and flywheels.
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/s²
Tool call template
Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.
{
"id": 1,
"jsonrpc": "2.0",
"method": "tools/call",
"params": {
"arguments": {
"torque": "<torque>",
"moment_of_inertia": "<moment_of_inertia>"
},
"name": "calculate_angular_acceleration"
}
}Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| torque | Yes | ||
| moment_of_inertia | Yes |