Physics

Horsepower Calculator

Calculate horsepower from torque and RPM.

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THE NUMORIX GUIDE

How to use the Horsepower Calculator

Last reviewed September 14, 2026

What this calculator does

For torque entered in pound-feet and speed in revolutions per minute, the engine uses horsepower = (torque x RPM) / 5252.

Formula and method

For torque entered in pound-feet and speed in revolutions per minute, the engine uses horsepower = (torque x RPM) / 5252. It converts the result with kW = HP x 0.7457 and W = HP x 745.7.

Variables and inputs

Torque is entered in lb-ft and rotational speed in RPM. The default is 250 lb-ft at 5,000 RPM; the UI requires both values to be positive and returns mechanical horsepower and kilowatts.

Worked example

For 250 lb-ft at 5,000 RPM: HP = (250 x 5,000)/5,252 = 238.00 HP, kW = 238.0046(0.7457) = 177.48 kW, and the corresponding watt value is about 177,480 W.

How to interpret the result

Horsepower is a power rate, not a force or a torque. At a fixed torque, higher RPM gives higher power; at a fixed RPM, higher torque gives higher power.

Common mistakes to avoid

The 5,252 constant belongs to lb-ft and RPM, so do not use it with N*m without converting or using a different constant. Do not confuse torque at one RPM with the engine's peak horsepower at another RPM.

Assumptions and limitations

The calculation represents ideal shaft power from the entered torque and speed. It does not account for drivetrain efficiency, electrical input, brake versus indicated horsepower, transient power curves, or whether the torque is sustainable; the UI does not label a torque unit other than lb-ft.

Practical use and checks

The Horsepower Calculator converts torque and rotational speed into mechanical power using horsepower = torque in lb-ft times RPM divided by 5,252. Enter 250 lb-ft and 5,000 RPM as a check; the result should be about 238.00 horsepower, 177.48 kilowatts, and 177,480 watts. The same torque at half the RPM should produce about half the power, which is a useful check that RPM is part of the rate calculation rather than a decorative input. The 5,252 constant is unit-specific. Do not enter newton-meters without converting or reuse the formula unchanged for a different torque unit. Horsepower is a power rate, not torque, force, or energy, so a high torque value at low speed can have less power than a lower torque value at high speed. The calculator estimates ideal shaft power and does not model drivetrain loss, electric input efficiency, peak-versus-sustained output, a torque curve, gearing, or heat. Positive inputs are expected; zero RPM means no rotational power under the formula, while a negative signed value needs a direction convention. Compare the result with the machine's rated operating point, duty cycle, and transmission efficiency before using it to size a motor, generator, or vehicle component.

Sources and references

COMMON QUESTIONS

Frequently asked questions

Why is 5,252 in the formula?

It converts lb-ft of torque and revolutions per minute into mechanical horsepower. The constant is unit-specific and should not be reused for torque in newton-meters.

Is horsepower the same as torque?

No. Torque is a turning effect, while horsepower is the rate of doing work. They are related by rotational speed, which is why RPM appears in the formula.