BenchRacer

Engine build maths · no login · nothing leaves your browser

Units
Rotating Assembly

Torque and Horsepower Calculator

Leave any one of the three blank and it will be solved from the other two.

Input
Result
Horsepower571.2hp
Torque500.0lb-ft
RPM6,000rpm
Power425.9kW
Torque677.9N·m
Torque and horsepower always cross at 5252 rpm, because that is where RPM ÷ 5252 equals one.
Formula
  1. horsepower = torque (lb-ft) × RPM ÷ 5252
  2. 5252 = 33,000 ft·lb per minute ÷ 2π
  3. 1 hp = 0.7457 kW · 1 lb-ft = 1.3558 N·m
Notes

When you need it

When converting dyno figures, comparing engines, or checking whether a claimed number is internally consistent.

The 5252 crossover

Torque and horsepower always cross at 5,252 RPM, because that is where RPM divided by 5,252 equals one. It is arithmetic, not a property of any particular engine.

It is also a quick lie detector. If a published dyno graph shows the two curves crossing anywhere other than 5,252, either the axes are scaled differently or the graph has been redrawn by someone who did not understand it.

Which number to care about

Torque multiplied by gearing is what accelerates the car; horsepower is the rate at which that work gets done, and it is what determines how much gearing you can afford to use. Neither is the whole story on its own.

A broad, flat torque curve feels stronger on the road than a peaky one with a bigger headline figure, because you spend your time under the curve rather than at its peak. Area under the curve across the RPM you actually use beats peak numbers.

Compare like with like

Chassis dyno figures run roughly twelve to twenty percent below crank figures depending on the drivetrain, and different correction standards differ by around four percent between them. Comparing an SAE-corrected chassis number with an uncorrected engine dyno number tells you nothing.