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How-to guide

How to Calculate Power from Torque and RPM: Formula, Steps & Examples

Learn how to calculate Power from Torque and RPM — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your power is straightforward once you know the Power from Torque and RPM formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Power from Torque and RPM Calculator.

What is Power from Torque and RPM?

The Power from Torque and RPM calculation tells you your power from a few simple inputs. The figure you are solving for here is the power.

The Power from Torque and RPM formula

The core formula is:

Power = Torque × Rotational speed × 2 × 3.141592653589793 ÷ 60

Here is what each input means:

  • Torque — a value measured in N·m. Example: 50 N·m.
  • Rotational speed — a value measured in RPM. Example: 3,000 RPM.

How to calculate it step by step

  • Write down the torque (for example, 50 N·m).
  • Write down the rotational speed (for example, 3,000 RPM).
  • Apply the formula above to get your power.
  • Double-check the result with the Power from Torque and RPM Calculator.

Worked examples

Example 1

Input / OutputValue
Torque50 N·m
Rotational speed3,000 RPM
Power15,707.96
In kilowatts15.708

With torque of 50 N·m and rotational speed of 3,000 RPM, the power works out to 15,707.96.

Example 2

With torque of 100 N·m and rotational speed of 3,000 RPM, the power works out to 31,415.93.

ResultValue
Power31,415.93
In kilowatts31.416

Example 3

With torque of 25 N·m and rotational speed of 3,000 RPM, the power works out to 7,853.98.

ResultValue
Power7,853.98
In kilowatts7.854

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Power from Torque and RPM Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring science calculators with these tools: Impulse Calculator, Elastic Potential Energy Calculator, Thermal Expansion Calculator, Buoyancy Force Calculator, RPM to Linear Speed Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Power = Torque × Rotational speed × 2 × 3.141592653589793 ÷ 60. With torque of 50 N·m and rotational speed of 3,000 RPM, the power works out to 15,707.96.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Power from Torque and RPM Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.