Pump Calculator
Calculate pump water horsepower, brake horsepower, efficiency, and NPSH online. Free pump power calculator for engineers.
What is Pump Horsepower?
Pump horsepower calculations are essential for selecting the right motor for a pump system. Water horsepower (WHP) is the theoretical minimum power needed, while brake horsepower (BHP) accounts for real-world efficiency losses in the pump.
Pump Formulas
The calculator uses standard pump equations for water in US units:
- Water Horsepower: WHP = Q × H / 3960 — theoretical hydraulic power
- Brake Horsepower: BHP = Q × H / (3960 × η) — actual shaft power required
- Pump Efficiency: η = WHP / BHP — ratio of output to input power
The constant 3960 converts gpm and feet of head to horsepower for water at standard conditions.
How to Use the Calculator
Select the variable you want to solve for:
- Water Horsepower: Enter flow rate in gpm and total dynamic head in feet
- Brake Horsepower: Enter flow rate, head, and pump efficiency percentage
- Pump Efficiency: Enter known WHP and BHP values
Applications
Pump calculations are critical for:
- Municipal water supply and distribution systems
- Irrigation system design
- Building services and high-rise water supply
- Industrial process pumping
- Fire protection system design
Also check: Pipe Flow Calculator, Pipe Hydrostatic Calculator, Pressure Calculator, Force Calculator, Power Calculator, and Work Calculator.
Frequently Asked Questions
What is the difference between water horsepower and brake horsepower?
Water horsepower (WHP) is the theoretical minimum power assuming no losses. Brake horsepower (BHP) is the actual shaft power needed, which is always higher due to hydraulic and mechanical inefficiencies.
What is total dynamic head (TDH)?
TDH is the total equivalent height the pump must overcome, including static lift (vertical elevation change), friction losses in piping, and any required discharge pressure.
What is a typical pump efficiency?
Small centrifugal pumps run at 50-70% efficiency. Medium pumps (10-100 hp) reach 65-80%. Large pumps can hit 80-90% at their best efficiency point (BEP).
How do I size a pump motor?
Calculate BHP at the design flow and head, then choose a motor rated at least 15-25% above BHP to cover service factor, startup load, and off-BEP operation.