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Free torque to horsepower calculator. Enter torque in lb·ft or N·m and RPM to get mechanical horsepower, kilowatts, and watts from P = τ × ω. See how the result compares to the common HP ≈ τ × RPM / 5252 shortcut. Use with our horsepower calculator and torque calculator on the math & science hub.
Last updated: April 13, 2026
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Mechanical horsepower (hp)
228.48 hp
Kilowatts (kW)
170.377 kW
Power (W)
1.7038e+5 W
Equivalent torque
300 lb·ft · 406.7454 N·m
Automotive rule of thumb: HP ≈ τ(lb·ft) × RPM / 5252 → here ≈ 228.48 hp (compare to 228.48 hp exact constant).
Exact relation used
P(W) = τ(N·m) × 2π × RPM / 60; hp = P / 745.699872…
Divisor τ(lb·ft)×RPM to hp is 33000/(2π) ≈ 5252.11 (not exactly 5252).
Compare advertised torque peaks to horsepower at the same speed without hand-derived rounding error.
Reinforce radians per second, watts, and the difference between approximate and exact hp formulas.
Use consistent mechanical power when discussing electric motor torque curves and nominal RPM.
τ = 200 lb·ft at 3000 RPM → about 114.24 hp (85.189 kW).
Exact divisor lb·ft×RPM → hp is 33000/(2π) ≈ 5252.11; 5252 is a common approximation.
Rotational mechanical power equals torque times angular velocity. After converting RPM to rad/s, power in watts is P = τ(N·m) × ω. Mechanical horsepower divides that by about 745.70 W per hp. If you start in lb·ft, the equivalent single-step formula is HP = τ × RPM × 2π / 33000.
P (W) = τ (N·m) × 2π × RPM / 60hp = P / 745.699872…HP ≈ τ(lb·ft) × RPM / 5252 (approximation)Same peak torque at higher RPM yields higher power because work per unit time increases.
Explore RPM and linear speed when tire radius enters the problem.
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