# Pumps - Power Calculator

## Calculate pump hydraulic and shaft power

### Hydraulic Pump Power

The ideal hydraulic power to drive a pump depends on

- the mass flow rate the
- liquid density
- the differential height

- either it is the static lift from one height to an other or the total head loss component of the system - and can be calculated like

P= q ρ g h / (3.6 10_{h(kW)}^{6})^{ }(1)

where

P= hydraulic power (kW)_{h(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)

The hydraulic Horse Power can be calculated as:

P=_{h(hp)}P/ 0.746_{h(kW)}(2)

where

P= hydraulic_{h(hp)}horsepower (hp)

### 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(kW)} = (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(kW)}P_{h(kW) }/ η (3)

where

P= shaft power (kW)_{s(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:

- Check the relation between Density, Specific Weight and Specific Gravity

### Related Mobile Apps from The Engineering ToolBox

- free apps for offline use on mobile devices.

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