# Pump Power Calculator

## Calculate pump hydraulic and shaft power?

Sponsored Links

### Hydraulic Pump Power

The ideal hydraulic power to drive a pump depends on the mass flow rate, the liquid density and the differential height

- either it is the static lift from one height to an other, or the friction head loss component of the system - can be calculated as

P_{h}= q ρ g h / (3.6 10^{6})^{ }(1)

where

P_{h}= power (kW)

q = flow capacity (m^{3}/h)

ρ = density of fluid (kg/m^{3})

g = gravity (9.81 m/s^{2})

h = differential head (m)

### Example - Power pumping Water

*1 m ^{3}/h* of water is pumped a head of

*10 m*. The theoretical pump power can be calculated as

*P _{h} = (1 m^{3}/h) (1000 kg/m^{3}) (9.81 m/s^{2}) (10 m) / (3.6 10^{6})*

^{ }

* = 0.027 kW*

### Shaft Pump Power

The shaft power - the power required transferred from the motor to the shaft of the pump - depends on the efficiency of the pump and can be calculated as

P_{s}= P_{h }/ η (2)

where

P_{s}= shaft power (kW)

η = pump efficiency

### Online Pump Calculator - SI-units

The calculator below can used to calculate the hydraulic and shaft power of a pump:

### Online Pump Calculator - Imperial units

The calculator below can used to calculate the hydraulic and shaft power of a pump using Imperial units:

### Related Mobile Apps from The Engineering ToolBox

- free apps for offline use on mobile devices.

Sponsored Links