Pump Horsepower Calculator

Convert pump flow and head into hydraulic and shaft horsepower, with efficiency included.

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Convert pump flow and head into hydraulic and shaft horsepower, with efficiency included.

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Shaft horsepower required

Hydraulic (water) horsepower
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Shaft horsepower required
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Shaft power (kW)
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Flow rate (L/s)
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Head (m)
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How to use this tool

1
Enter flow rate

Pump delivery in US gallons per minute.

2
Enter total head

Total dynamic head in feet, including elevation, friction and pressure head.

3
Enter specific gravity

1.0 for water; higher for denser liquids such as brines.

4
Enter pump efficiency

From the pump curve at the operating point; shaft power is hydraulic power divided by efficiency.

Formula & worked example

Hydraulic horsepower = (flow in gpm × head in feet × specific gravity) / 3,960. Shaft horsepower = hydraulic horsepower / efficiency. Shaft kW = shaft hp × 0.7457.

100 gpm, 50 ft head, SG 1, 75% efficiency: hydraulic power 1.2626 hp, shaft power 1.6835 hp = 1.2554 kW.

Limitations — read this before you rely on it

This uses the standard US water-horsepower formula with a single efficiency value. Real efficiency varies with flow along the pump curve, and motor efficiency, drive losses and suction conditions are separate; size motors with a safety margin above shaft power.

Frequently asked questions

The total energy the pump must add: elevation lift plus friction losses plus any pressure difference, expressed as a height of the pumped liquid.

It is the unit-conversion constant for US gallons per minute and feet of water head into horsepower.

Hydraulic power is delivered to the fluid; shaft power is what the motor must supply, higher because the pump is not 100% efficient.

Yes — pumping a denser liquid at the same flow and head needs proportionally more power.

Choose a motor rated above the shaft power at the worst expected operating point, not just the design point.