Horsepower ↔ Torque Calculator

Convert HP to torque or torque to HP at any RPM using the SAE formula printed on every dyno sheet. Enter any two values to find the third.

HP ↔ Torque at a Single RPM

Torque
lb·ft
Torque
N·m
HP per Liter
L displacement

Torque → HP (reverse)

Horsepower
HP
Kilowatts
kW

Power Band Table (constant torque curve)

Shows how HP changes across the RPM range if torque stays constant - useful for understanding the crossover point.

RPMTorque (lb·ft)HP

The HP / Torque Relationship

Horsepower and torque are not independent measurements - they are linked by RPM through a fixed mathematical relationship. One is always derivable from the other if you know the engine speed.

HP = (Torque × RPM) / 5252.113
Torque = (HP × 5252.113) / RPM

The constant is approximately 5252.113 for mechanical horsepower and lb-ft. Their numerical values therefore cross at about 5,252.1 RPM when plotted on the same scale.

Torque vs HP - Which Matters More?

Torque does the work - it's the twisting force that accelerates the car. Horsepower is the rate at which that work is done. In practical terms:

SAE Net vs Gross

Modern ratings (post-2005) use SAE Net - power measured at the crankshaft with all accessories fitted (alternator, power steering pump, AC, etc.). Older "gross" ratings excluded accessories and often overstated output by 10-20%. Always specify when comparing.

Wheel HP vs Crank HP

Dynos measure at the wheels. Drivetrain losses (transmission, differential, axles) typically subtract 12-18% for RWD, 15-20% for AWD. A 400 WHP car is roughly 460-480 crank HP on a typical RWD platform.

It is worth stressing that drivetrain loss is not a fixed horsepower number - it scales with how much power is flowing through the driveline and with how the dyno operator calculates the "correction." Quoting a flat percentage is a convention, not a precise measurement. When you compare two cars, the only honest comparison is wheel-to-wheel on the same type of dyno, because crank figures are estimates layered on top of estimates.

Why the Curves Cross at 5252

The crossover falls out of the units. Since HP = torque × RPM / 5252.113, their numerical values are equal at approximately 5,252.1 RPM. This assumes lb-ft and mechanical horsepower plotted on the same scale.

Worked Example

Suppose a dyno shows your engine making 350 lb·ft of torque at 3,500 RPM. Plug it into the formula:

HP = (350 × 3500) / 5252 = 233 HP

Now imagine torque has fallen to 300 lb·ft by 6,500 RPM as the engine runs out of breath up top. Even though torque dropped, horsepower keeps climbing because RPM rose faster than torque fell:

HP = (300 × 6500) / 5252 = 371 HP

So peak torque was down low at 3,500 RPM, but peak power lands much higher in the band - a textbook illustration of why the two peaks rarely coincide. Notice also that at 3,500 RPM the HP number (233) is below the torque number (350), while a calculation at any RPM above 5252 would put HP above torque - the crossover at 5252 in action.

Frequently Asked Questions

Why do horsepower and torque always cross at 5252 RPM?

Because HP = Torque × RPM / 5252.113. The constant comes from the mechanical-horsepower and angular-speed unit conversion, so the numerical values cross at about 5,252.1 RPM.

What is the difference between wheel HP and crank HP?

Dynos measure power at the wheels, after drivetrain losses. RWD cars typically lose 12-18% between the crank and wheels; AWD cars 15-20%. A 400 WHP RWD car is roughly 460-480 HP at the crank.

If torque is what moves the car, why do we care about horsepower?

Torque is the instantaneous twisting force, but horsepower is the rate of doing work - it already folds in how fast the engine is spinning. Because gearing multiplies torque, what actually determines acceleration at any road speed is the power available, since power is conserved through the gearbox while torque is not. That is why two engines with identical peak torque but different peak RPM accelerate very differently: the higher-revving one makes more horsepower.

How do I convert horsepower to kilowatts?

Multiply mechanical (SAE) horsepower by 0.7457 to get kilowatts, or divide kilowatts by 0.7457 to get horsepower. So 400 HP is about 298 kW. Metric PS (used on many European spec sheets) is slightly different - 1 PS is about 0.9863 HP - so a 400 PS car is roughly 395 HP.

Can an engine make peak torque and peak horsepower at the same RPM?

Not necessarily. Because HP = torque × RPM / 5252.113, horsepower rises while the RPM increase outweighs the torque decrease, so the peaks commonly occur at different engine speeds.

Why are the numbers identical at 5252 RPM but not elsewhere?

It is a unit-conversion result. With lb-ft and mechanical horsepower, HP = torque × RPM / 5252.113, so their numerical values are equal near 5,252.1 RPM.

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