Torque Calculator
Calculate shaft torque from power and rotational speed in metric or imperial units.
How it works
- 1Select your unit system — metric (kW, N·m) or imperial (hp, lbf·ft).
- 2Enter the shaft power and the rotational speed in rpm.
- 3The calculator applies T = P ÷ ω (where ω = 2πN/60) and displays the torque instantly.
Use cases
- Sizing electric motors and gearboxes for industrial machinery.
- Checking engine torque output from a dyno power and rpm reading.
- Verifying that a drive shaft or coupling can handle the expected load.
Frequently asked questions
What formula does this calculator use?
It uses T = P ÷ ω, where ω (angular velocity in rad/s) = 2π × N ÷ 60 and N is speed in rpm. For example, 10 kW at 1500 rpm gives ω ≈ 157.08 rad/s and T = 10 000 ÷ 157.08 ≈ 63.7 N·m.
How do I convert between N·m and lbf·ft?
1 N·m ≈ 0.7376 lbf·ft, so 63.7 N·m ≈ 47.0 lbf·ft. The calculator handles this conversion automatically when you switch to the imperial tab.
Why does the result show — when rpm is zero?
Torque from power is mathematically undefined at zero speed (division by zero). In practice, starting torque must be determined from the motor’s locked-rotor specification, not from steady-state power.
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