Glossary Science & Engineering

Horsepower

Horsepower is a unit of power; one mechanical horsepower is 33,000 foot-pounds of work per minute, about 745.7 watts.

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In more detail

One mechanical (imperial) horsepower is 550 foot-pounds per second, about 745.7 W. The metric horsepower (PS, CV or ch) is 735.5 W, about 1.4% smaller, and many official specifications now give kilowatts. For an engine, hp = torque (lb-ft) × rpm / 5,252; the constant is 33,000 / 2π, which is why torque and horsepower curves in lb-ft and hp always cross at 5,252 rpm. Multiply hp by 0.7457 for kW.

Why it matters

Manufacturers usually quote power at the crankshaft; a chassis dynamometer measures at the wheels and reads lower because of drivetrain losses, so the two figures are not directly comparable. When comparing cars across markets, check whether a number is hp, PS or kW. Acceleration depends on power-to-weight ratio, not on power alone.

Example

300 lb-ft at 5,000 rpm: 300 × 5,000 / 5,252 = 285.6 hp  = 213 kW
Same engine in PS: 285.6 × 745.7 / 735.5    = 289.6 PS
Trap-speed estimate, 3,500 lb car at 100 mph: 3,500 × (100 / 234)³ = 273 hp
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