Torque to Horsepower Calculator

Convert torque and RPM to horsepower using HP = Torque × RPM / 5252. Also convert Nm to kW. Understand why torque and HP always cross at 5,252 RPM.

lb-ft
RPM
Horsepower (HP)
Kilowatts (kW)
Torque (lb-ft)
Extended More scenarios, charts & detailed breakdown
lb-ft
RPM
Horsepower (HP)
kW
Torque in Nm
Professional Full parameters & maximum detail
lb-ft
RPM
HP
RPM
RPM

Power & Torque

HP at Peak Torque RPM
Torque at Peak HP RPM (lb-ft)
Peak Power (kW)

Crossover & Band

HP = Torque Crossover RPM
Useful Power Band (RPM range)

How to Use This Calculator

  1. Enter Torque in lb-ft and RPM to get horsepower instantly.
  2. Use the Metric (kW) tab for Nm-to-kW conversion.
  3. Use the Why 5,252? tab to explore the mathematical constant behind the formula.
  4. Use the Professional tab to analyze peak torque vs peak HP RPM and find the useful power band.

Formula

HP = Torque (lb-ft) × RPM / 5252

kW = Torque (Nm) × RPM / 9549.3

Reverse: Torque (lb-ft) = HP × 5252 / RPM

Example

300 lb-ft at 5,252 RPM = 300 HP. At 3,000 RPM, same 300 lb-ft = 171 HP. At 7,000 RPM: 300 lb-ft = 400 HP.

Frequently Asked Questions

  • The crossover at 5,252 RPM is not a physical law but a mathematical consequence of the constants used in the imperial horsepower formula. One horsepower was originally defined by James Watt as 33,000 foot-pounds per minute — the rate at which a horse could lift coal from a mine. When you convert rotational motion (torque in lb-ft × angular velocity in RPM) into this linear-power unit, you divide by 2π (to convert radians to revolutions) and by 60 (to convert minutes to seconds), giving a denominator of 2π × 60 / 33,000 = 5,252. So at exactly 5,252 RPM, one lb-ft of torque equals exactly one horsepower. Below that RPM, torque numbers are always larger than horsepower numbers for the same engine. Above it, horsepower numbers exceed torque numbers. This is why high-revving sport car engines show wide separation between the two curves at high RPM, while low-RPM diesel engines show torque curves that stay well above their horsepower values throughout most of the operating range.
  • For everyday driving — acceleration from stops, merging onto highways, and general responsiveness — torque at low RPM is what you feel in the seat of your pants. When you press the accelerator at 1,500–3,000 RPM in normal traffic, it is low-end torque that determines how eagerly the car responds. Horsepower determines your maximum speed at full throttle and is most relevant at higher RPM. A diesel pickup truck with 900 lb-ft of torque but only 400 HP feels tremendously strong at low speeds but is not particularly fast on a racetrack. Conversely, a naturally aspirated sports car with 400 HP but only 280 lb-ft of torque feels less muscular in daily driving but reaches its potential when you rev it to 7,000+ RPM. For commuting, towing, and most practical driving, a broad, flat torque curve at accessible RPM is more useful than peak horsepower at high RPM. Electric vehicles have become popular partly because they deliver full torque from zero RPM.
  • Electric motors produce their maximum torque from zero RPM — the very instant they begin spinning. This is fundamentally different from internal combustion engines, which build torque as RPM increases toward a peak and then fall off. An electric motor generates torque through electromagnetic force: as current flows through the stator windings, it creates a magnetic field that acts on the rotor, producing rotational force instantaneously regardless of speed. There are no transmission losses at low speed, no turbo lag, and no need to "rev up" to the power band. A Tesla Model 3 Performance produces 487 lb-ft of torque from a standstill, delivering it through a single-speed reduction gear directly to the wheels. This flat torque curve — combined with instant response — is why EVs feel so quick from a stop even when their peak power numbers are comparable to conventional sports cars. At higher speeds, electric motors do experience reduced torque output, but by then the vehicle is already moving and less torque is needed to maintain acceleration.
  • Yes, absolutely — diesel engines are the classic example. A large marine diesel or agricultural tractor engine may produce 1,500–2,000 lb-ft of torque at just 1,200 RPM while making only 300–500 horsepower. Because HP = Torque × RPM / 5252, low RPM limits horsepower even with enormous torque. These engines are designed to operate slowly — they are optimized for sustained heavy work, not high-speed power. The same principle applies to electric motors in industrial machinery. In automotive terms, a large diesel truck engine producing 460 HP and 1,650 lb-ft of torque has that torque available from 1,200 to 1,600 RPM — ideal for pulling 80,000-pound freight loads. The relationship between torque, RPM, and power means you can always trade one for the other: a gearbox with a 4:1 reduction quadruples torque at the output while reducing output speed by 75%, keeping power (minus efficiency losses) constant.
  • A dynamometer (dyno) measures power by applying a controllable load to the engine or drivetrain while measuring both torque and rotational speed simultaneously. Most chassis dynos measure wheel torque and wheel RPM directly. The software then calculates horsepower using the formula HP = (Torque × RPM) / 5252 at every measured RPM point and plots both curves across the RPM range. The peak values on each curve are reported as peak torque and peak horsepower. Chassis dynos report "wheel horsepower" (WHP) — the power actually reaching the driven wheels after drivetrain losses (typically 12–18% for rear-wheel-drive cars, 15–22% for all-wheel-drive). Engine dynos bolt directly to the engine and measure crankshaft output — these report "brake horsepower" (BHP) or SAE HP and do not include drivetrain losses. To estimate crank HP from WHP, divide by 0.85 for a rough approximation. SAE-certified testing using J1349 standards requires controlled intake air temperature, pressure, and humidity for comparable results.

Related Calculators

Sources & References (5)
  1. SAE J1349 Engine Power Test Code — SAE International
  2. Bosch Automotive Handbook, 10th Edition — Robert Bosch GmbH
  3. Ricardo Engine Engineering — Ricardo plc
  4. Tony Foale — Motorcycle Handling and Chassis Design — Tony Foale Designs
  5. How Cars Work — Tom Newton — Black Apple Press