Electric Motor Torque Calculator

Quick answer

The electric motor torque calculator finds the torque of a motor from its power and speed, and for AC induction motors the synchronous speed and slip from the supply frequency and number of poles.

Torque
49.39291
Synchronous speed
1,500 rpm
Slip
3.333 %

A motor’s nameplate lists power and speed; torque follows directly. Induction motors run slightly slower than the rotating magnetic field – the slip, usually 1–5% – which is what lets them produce torque.

How to use the Electric Motor Torque Calculator

  1. Supply frequency
  2. Number of poles
  3. Motor speed (rpm)
  4. Output power

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

How it works

Enter the supply frequency, number of poles, actual motor speed and output power.

Inputs explained

Field What to enter
Supply frequency Choose one: 50 Hz, 60 Hz
Number of poles A number
Motor speed (rpm) A number
Output power Units: kW, W, hp

What each result means

  • Torque = [Output power]÷(2×pi×[Motor speed (rpm)]÷60)
  • Synchronous speed = 120×[Supply frequency]÷[Number of poles]
  • Slip = (120×[Supply frequency]÷[Number of poles] – [Motor speed (rpm)])÷(120×[Supply frequency]÷[Number of poles])×100

Example values

How the main result changes when Number of poles changes and everything else stays at the example values above:

Number of poles Torque (N·m)
2 49.3929
3 49.3929
4 49.3929
5 49.3929
6 49.3929
8 49.3929

Formula

T = P / ω = 9549·P(kW) / n(rpm), n_s = 120·f / p, slip = (n_s − n)/n_s

Worked example

Inputs — Supply frequency: 50 Hz; Number of poles: 4; Motor speed (rpm): 1,450; Output power: 7.5 kW.
Results — Torque = 49.39291 N·m; Synchronous speed = 1,500 rpm; Slip = 3.333 %.

Key terms

Synchronous speed
Speed of the stator's rotating magnetic field.

Frequently asked questions

How do I find torque from kW and rpm?

T (N·m) = 9549 × P (kW) / n (rpm).

Why is the motor slower than synchronous speed?

Induction motors need slip to induce rotor current.

What is a 4-pole motor's synchronous speed at 50 Hz?

1,500 rpm.

Does torque change with load?

Yes – slip and torque rise together up to the breakdown point.

Sources

  1. OpenStax – University Physics Volume 2
  2. The Engineering ToolBox

Cite this calculator

Speedy Calculator. (2026). Electric Motor Torque Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/electric-motor-torque/