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Free torque to horsepower converter for calculating horsepower from torque and rotational speed (RPM). Our converter supports multiple torque units (N·m, lbf·ft), speed units (rpm, rad/s, Hz), power units (W, kW, MW), and horsepower types (mechanical, metric, electric, air, boiler). Perfect for automotive engineering, mechanical design, and power system calculations.
Last updated: January 24, 2026
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Conversion Formula:
Power (W) = Torque (N·m) × Speed (rad/s)
Horsepower = Power (W) / 745.70 W (mechanical)
Enter torque and speed to calculate power and horsepower. You can also enter power or horsepower to calculate the other values.
Definition
τ = F × r
Torque is the rotational equivalent of force - the ability of a force to cause an object to rotate around an axis. It's measured in Newton-meters (N·m) or pound-feet (lbf·ft). In engines, torque represents the twisting force that rotates the crankshaft.
Definition
HP = Torque × Speed
Horsepower is a unit of power measuring the rate at which work is done. One mechanical horsepower equals 745.7 watts. It was originally defined by James Watt to compare steam engine efficiency to horses pulling loads.
Converting 150 N·m torque at 1500 RPM to horsepower:
Torque
150 N·m
Speed
1500 RPM
Horsepower
~31.6 hp
Our torque to horsepower converter calculates power and horsepower from torque and rotational speed using the fundamental relationship: Power = Torque × Angular Velocity. The calculator supports multiple units and can work in reverse - calculating torque from horsepower and speed.
Power (W) = Torque (N·m) × Speed (rad/s)Horsepower = Power (W) / 745.70 W (mechanical)HP = (Torque (lbf·ft) × RPM) / 5252 (US units)The formula converts torque and rotational speed to power, then to horsepower. For US units, the constant 5252 comes from converting foot-pounds and RPM to horsepower. The calculator handles all unit conversions automatically.
Converting torque to horsepower involves these steps:
There are several types of horsepower used in different applications:
Understanding the difference between torque and horsepower is crucial. Torque is the twisting force that causes rotation, while horsepower is the rate at which work is done. High torque is important for acceleration and towing, while high horsepower is important for top speed and sustained performance.
Torque to horsepower conversion is essential in many engineering and automotive applications. Engineers need to understand both metrics to design efficient systems, compare engine performance, and select appropriate motors and engines for specific applications.
Need help with other torque conversions? Check out our Nm to in-lbs converter and force converter.
Get Custom Calculator for Your PlatformResult: 150 N·m at 1500 RPM equals 31.6 mechanical horsepower (hp(I))
This calculation uses the standard conversion factor for mechanical horsepower. Different horsepower types (metric, electric, etc.) use slightly different conversion factors.
200 lbf·ft at 3000 RPM
HP = (200 × 3000) / 5252
= 114.3 hp
50 N·m at 3000 RPM
Power = 50 × 314.16 = 15,708 W
= 21.1 hp
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