Pump Horsepower Calculator

Engineering Calculators › Pump Horsepower Calculator
Engineering · Fluid Mechanics

Pump Horsepower Calculator

What size pump and motor do you actually need? Enter flow and head (or pressure) and this gives hydraulic power, brake horsepower at your efficiency, the next standard motor size, and the yearly running cost.

Brake horsepower

Three Kinds of Pump Power

The horsepower question has three answers, and mixing them up is how pumps get undersized. Hydraulic power is the useful work done on the fluid. Brake power is what the pump shaft actually draws once you account for pump inefficiency — this is the number that sizes the motor. Motor input power is the electricity drawn, brake power divided by motor efficiency.

The Formula

Brake HP = (Flow × Head × SG) ÷ (3960 × Pump Efficiency)

Flow in US gallons per minute, head in feet. The constant 3960 rolls up the weight of water and the definition of horsepower. In SI it is simply hydraulic power = ρ g Q H, divided by efficiency.

Why the Next Size Up

You never run a motor at exactly 100 percent of its rating. Picking the next standard size above the brake power gives margin for a worn pump, a heavier-than-rated fluid, or a duty point that drifts. The calculator suggests that standard size automatically.

Frequently Asked Questions

What head should I enter?

Total dynamic head: the static lift plus every friction loss in the system at your flow. Size the pipe losses first, then bring the head here.

What pump efficiency is realistic?

Small centrifugal pumps run 50 to 70 percent; larger well-matched pumps reach 80 percent or more. Use the value from the pump curve at your duty point rather than a guess.

Why does specific gravity matter?

Power scales directly with fluid weight. Pumping a fluid denser than water (SG above 1) raises the horsepower in proportion.

For education and preliminary sizing. Final pump and motor selection must come from the manufacturer pump curve at the actual duty point, with allowances for NPSH, service factor and starting conditions.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.