StatGardenREF. DESK
Calculators/Physics/Torque & rotational power
Physics

Torque & rotational power calculator

Turning force, and the power it delivers at a given speed.

What this calculator does

Torque & rotational power works out turning force, and the power it delivers at a given speed. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulaτ = F·r·sinθ; P = τ·ω = τ·2πN/60 with N in rpm

The inputs explained

FieldWhat to enter
Force (N)A number, measured in N. Starts at 200.
Lever arm (m)A number, measured in m. Starts at 0.4.
Angle (°)A number, measured in °. Starts at 90.
Rotational speed (rpm)A number, measured in rpm. Starts at 3000.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with force

Every other input is held at the calculator’s starting values while force varies. Select any row to load that scenario into the calculator.

How the answer changes with force
Force (N)TorqueIn pound-feetPower at 3,000 rpm
10040.000 N·m29.50212,566.4 W
15060.000 N·m44.25418,849.6 W
20080.000 N·m59.00525,132.7 W
300120.000 N·m88.50737,699.1 W
400160.000 N·m118.01050,265.5 W
600240.000 N·m177.01575,398.2 W