About the Pump Power Calculator
A pump must lift liquid against gravity and friction. This calculator finds the hydraulic power that goes into the liquid and the larger shaft power the motor must supply, given the flow, the total head, the density of the liquid and the pump efficiency. It also shows the energy used per hour. Type flow, head, liquid density and efficiency and the pump power appears at once, with a few related figures underneath, and you can copy the result with one tap. The sums run in your browser, so nothing you enter is uploaded.
Updated October 2026
How to use the Pump Power Calculator
- 1Enter flow, head, liquid density and efficiency.
- 2Pick the units or options from the menus if the pump power tool offers them.
- 3Read the pump power in the large result box.
- 4Look at the extra rows for related figures.
- 5Press Copy result to keep the answer.
When you need the pump power
Homeowners sizing a well or garden pump, engineers and students use it.
Head is the vertical lift plus losses from friction in pipes and fittings. Efficiency of small pumps is often only 40 to 60 percent, while large ones can exceed 80 percent.
How the pump power is worked out
Hydraulic power = density × 9.80665 × flow × head. Shaft power = hydraulic power ÷ efficiency. Flow is in cubic metres per second. Pumping 10 litres per second of water against a head of 30 m needs 2,942 W of hydraulic power. At 65% efficiency, the shaft power is 4,526 W, or 6.07 hp.
Every answer on this page comes from that one rule, so you can check any result by hand with a calculator. The figures shown underneath, such as other units, are conversions of the same answer.
- Watts and horsepower
- Energy per hour
- Any liquid density
Mistakes to avoid with pump power
Add a safety margin of 10 to 20 percent to the motor size. Watch that flow is in litres per second, not per minute. Thick liquids need more power.
On phone and computer
On a phone, type into the boxes one after another and read the pump power underneath; Copy result puts it on the clipboard for a message or a note. On a computer the inputs sit on the left and the answer on the right, so you can change one figure and watch the pump power move. The pump power calculator works the same on both.
Checking your pump power by hand
A good habit is to test the pump power calculator with a case you already know. Pumping 10 litres per second of water against a head of 30 m needs 2,942 W of hydraulic power. At 65% efficiency, the shaft power is 4,526 W, or 6.07 hp.
If your own figures give a surprising answer, repeat the working yourself: Hydraulic power = density × 9.80665 × flow × head. Shaft power = hydraulic power ÷ efficiency. Flow is in cubic metres per second. Small differences usually come from rounding, from mixing units, or from a typing slip in one of the inputs. Pump power depends on the flow and pressure, so check those first. Use the Pipe Flow Calculator for flow, the Pressure Converter for units, and the Wind Turbine Power Calculator to compare another fluid-driven machine.
Features
- Flow in litres per second
- Add a motor margin
- Friction counts in the head
- Clear messages when the pump power inputs make no sense
- Copy the result with one tap
- Private: nothing is uploaded
Frequently asked questions
How do I calculate pump power?
Hydraulic power = density × 9.80665 × flow × head. Shaft power = hydraulic power ÷ efficiency. Flow is in cubic metres per second. Pumping 10 litres per second of water against a head of 30 m needs 2,942 W of hydraulic power. At 65% efficiency, the shaft power is 4,526 W, or 6.07 hp.
What is the formula for pump power?
Hydraulic power = density × 9.80665 × flow × head. Shaft power = hydraulic power ÷ efficiency. Flow is in cubic metres per second. The pump power calculator applies it exactly and rounds only the displayed answer to six significant figures.
What is head?
The height of liquid the pump must lift, plus friction losses, in metres.
Why is shaft power higher?
Because the pump wastes some power, which the efficiency accounts for.
Does it work for liquids other than water?
Yes, enter their density.
Is this pump power calculator free and private?
Yes. It is free, needs no account and runs in your browser, so the numbers you type are not uploaded or stored.