01
Formula
HP = torque × RPM ÷ 5,252.
Torque = HP × 5,252 ÷ RPM. Hydraulic HP = PSI × GPM ÷ 1,714. Motor HP = V × I × efficiency × power factor × phase factor ÷ 746. Phase factor is 1 or the square root of 3.
Apply for financingHorsepower
Horsepower calculator for torque, hydraulics, and motors
This horsepower calculator uses torque times RPM divided by 5,252. Switch it to a torque calculator, a hydraulic horsepower calculator, a pump horsepower calculator, or a motor horsepower calculator. Hydraulic horsepower is PSI times GPM divided by 1,714. Motor horsepower uses volts, amps, efficiency, and power factor. These are shaft and fluid estimates, not a nameplate replacement.
From
Horsepower
57.12hp
Torque150.00 ft-lb
RPM2,000
FormulaTorque × RPM ÷ 5252
Planning estimate from the numbers you enter. Coverage, density, waste and price are assumptions, not a supplier quote or an engineering specification.
How it works
The 5,252 constant connects torque, speed, and horsepower.
Mechanical horsepower equals torque in foot-pounds times RPM, divided by 5,252. One hundred fifty foot-pounds at 2,000 RPM is 57.12 horsepower. The torque calculator reverses it: torque equals horsepower times 5,252, divided by RPM. Hydraulic and pump horsepower equal pressure times flow divided by 1,714. Two thousand PSI at 10 gallons per minute is 11.67 horsepower. Motor horsepower equals volts times amps times efficiency times power factor, times the square root of 3 when the motor is three phase, divided by 746. Type efficiency and power factor as percents in the motor mode. A nameplate already did this test. Use the nameplate when you have it.
02
Example
150 foot-pounds at 2,000 RPM.
The horsepower calculator shows 57.12 horsepower. The hydraulic example filled in under that mode, 2,000 PSI at 10 GPM, is 11.67 horsepower. That is the pump horsepower calculator result for those two inputs.
03
Tips
Do not mix a torque wrench reading with a running torque.
The mechanical mode wants torque at the RPM you typed, in foot-pounds. A metric newton-meter reading has to be converted first. Hydraulic horsepower is fluid power, before pump and motor losses, unless you have already folded losses into the flow or the pressure.
04
Equipment
The driven machine is what a shop finances.
Dengaro arranges financing for shop or hydraulic equipment. Horsepower is not a loan amount.
Important questions
Know what to expect.
Where does 5,252 come from?+
It is 33,000 foot-pounds per minute divided by 2 pi. Horsepower was defined as 33,000 foot-pounds per minute. The constant lets you use RPM instead of radians.
Is pump horsepower the same as hydraulic horsepower?+
On this page, yes. Both use PSI times GPM divided by 1,714. A pump's input horsepower is higher once you divide by pump efficiency. Type a lower effective pressure or raise the result yourself if you need input power.
What does the motor horsepower calculator need?+
Volts, amps, efficiency percent, power factor percent, and single or three phase. It estimates output horsepower. It is not a locked-rotor calculation.
Can I enter horsepower and get torque?+
Yes. Switch to the horsepower mode, which is the torque calculator direction. Enter horsepower and RPM.
Financing built into the sale