Motor Torque ↔ Power Calculator
Convert between torque, rotational speed and mechanical power.
Input
ℹ Power = torque × angular speed. ω = 2π × RPM / 60.
Results
Angular Speed—
Mechanical Power—
Power (hp)—
💡 Usage & Formula
P (W) = T (N·m) × ω, ω = 2π·RPM/60. Equivalently T = 9.5493 × P / RPM. 1 hp = 745.7 W.
When you need it: Converting between torque and mechanical power at a given speed when sizing a motor, gearbox or the load it drives.
Worked example: P(W) = τ(N·m) × ω(rad/s) = τ × RPM × 2π/60. So 0.5 N·m at 3000 RPM is 0.5 × 314 ≈ 157 W.
Tips & gotchas:
- Power is torque × angular speed, so a small fast motor can match a big slow one on power alone.
- A gearbox trades speed for torque by the ratio (minus its efficiency) — reduce speed, multiply torque.
- Distinguish continuous from peak torque ratings; sustained operation must stay under the continuous figure.
- Add inertia (acceleration) torque for dynamic loads on top of the steady-state requirement.
📖 References:Torque (Wikipedia)