Angular Motion - Power and Torque
Calculate power, torque, and angular motion parameters. Includes formulas for rotating bodies with options to work in SI units (watts, Nm, rpm) or imperial units (hp, ft lbf, rpm).
Key Formulas
Power and Torque Relationship
P = T × ω where:
- P = power (W)
- T = torque (Nm)
- ω = angular velocity (rad/s)
Alternative Forms
P = T × 2π × nrps (using rotations per second)
P = T × π × nrpm / 30 (using rotations per minute)
P = T × nrpm / 5252 (imperial units: power in hp, torque in ft lbf)
Rearranged for Torque
T = 30 × P / (π × nrpm)
Angular Acceleration Torque
T = I × α where:
- I = moment of inertia (kg⋅m²)
- α = angular acceleration (rad/s²)
Unit Conversions
- 1 radian = 360° / 2π ≈ 57.296°
- Angular velocity: ω = 2π × rpm / 60