Torque to Horsepower Calculator

Quick answer

The torque to horsepower calculator converts engine torque and speed into power in horsepower and kilowatts, using the relation P = T × ω.

rpm
Power
—
In kilowatts
— kW

Horsepower and torque are linked by engine speed: power is torque times rotational speed. That is why horsepower and torque curves (in lb·ft) always cross at 5,252 rpm.

How to use the Torque to Horsepower Calculator

  1. Torque
  2. Engine speed
  3. Every result field is editable: type into Power or any other result and Engine speed plus every other field update to match.

Results update as you type, and every field accepts the units shown in its menu.

How it works

Torque is converted to newton-metres, rpm to radians per second, and the two are multiplied to give watts.

Inputs explained

Field What to enter
Torque Units: lbf·ft, N·m, kgf·m
Engine speed In rpm

What each result means

  • Power = [Torque] × 2 × pi × [Engine speed] ÷ 60
  • In kilowatts = [Torque] × 2 × pi × [Engine speed] ÷ 60

Example values

How the main result changes when Engine speed changes and everything else stays at the example values above:

Engine speed (rpm) Power (hp)
2,626 150
3,939 225
5,252 299.99
6,565 374.99
7,878 449.99
10,504 599.99

Formula

hp = torque (lb·ft) × rpm ÷ 5,252P (W) = T (N·m) × 2π × rpm ÷ 60

Worked example

Inputs — Torque: 300 lbf·ft; Engine speed: 5,252 rpm.
Results — Power = 299.99 hp; In kilowatts = 223.71 kW.

Frequently asked questions

Why do torque and hp curves cross at 5,252 rpm?

Because hp = lb·ft × rpm ÷ 5,252, they are equal at that speed.

How much hp is 400 N·m at 6,000 rpm?

About 337 hp (251 kW).

What formula does the Torque to Horsepower Calculator use?

hp = torque (lb·ft) × rpm ÷ 5,252.

Sources

  1. NIST Special Publication 811 – Guide for the Use of the International System of Units
  2. NIST Handbook 44 Appendix C – General tables of units of measurement

Cite this calculator

Speedy Calculator. (2026). Torque to Horsepower Calculator. Speedy Calculator. https://speedycalculator.com/calculators/conversion/torque-to-horsepower/