Water Pump Calculator
A water pump calculator determines the required pump horsepower based on the flow rate and total dynamic head (TDH) of your system. The hydraulic power formula converts flow in gallons per minute and head in feet to water horsepower, then divides by pump efficiency to find the required brake horsepower at the motor shaft. Water pumps are used in residential well systems, irrigation, industrial processing, fire suppression, and HVAC. Selecting the correct pump size prevents overheating, premature failure, and insufficient flow. Enter your design flow rate, total head (including static lift and friction losses), and expected pump efficiency to calculate the motor size needed.
Pump horsepower formula
Water HP (WHP) = (GPM x Head x SG) / 3,960
Brake HP (BHP) = WHP / (Efficiency / 100)
Motor power (kW) = BHP x 0.7457
Note: 3,960 is a unit conversion constant for GPM and feet.
Frequently asked questions
How do I calculate the horsepower required for a water pump?
Water HP = (Flow rate in GPM x Total head in feet) / 3,960. Brake HP (actual motor size) = Water HP / Pump efficiency. For example, 50 GPM at 100 feet of head with 65% efficiency: Water HP = (50 x 100) / 3,960 = 1.26 HP. Brake HP = 1.26 / 0.65 = 1.94 HP. Select the next standard motor size above this value (2 HP).
What is total dynamic head (TDH)?
Total dynamic head is the total equivalent height the pump must lift water, including static head (actual vertical lift), friction head (pipe friction losses), and pressure head (any required discharge pressure). TDH = Static head + Friction losses + Pressure head. Friction losses depend on pipe diameter, length, flow rate, and number of fittings.
What is pump efficiency?
Pump efficiency is the ratio of hydraulic output power to the input shaft power. Centrifugal pumps typically operate at 50-80% efficiency at their best efficiency point (BEP). Selecting a pump near its BEP minimizes energy consumption and wear. Submersible well pumps typically have combined pump and motor efficiencies of 55-70%.
How do I size a water supply pump for a house?
Residential water supply systems typically require 5-15 GPM flow rate and 40-60 PSI pressure (92-138 feet of head). A 3/4 HP to 1 HP pump usually covers most homes with a pressure tank. Determine the peak demand (number of fixtures x fixture flow rates), static water level, well depth, and pipe losses to calculate TDH accurately.
What is the difference between GPM and GPH for pump sizing?
GPM (gallons per minute) is used for pump sizing and most hydraulic calculations. GPH (gallons per hour) is used for slower processes like chemical dosing or irrigation scheduling. Convert: GPH = GPM x 60. Most pump curves are plotted in GPM versus total head (feet) and use pump efficiency curves to select operating point.
Official sources
- Hydraulic Institute: Hydraulic Institute Standards - Pump Efficiency and Sizing.
- U.S. Department of Energy: DOE Advanced Manufacturing Office - Pump Systems.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.