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# Pumping Water - Energy Cost Calculator

The energy cost per hour for pumping water can be calculated in imperial units as

C = 0.746 Q h c / (3960 μp μm)                                      (1)

where

C = cost per hour (USD/hour, EUR/hour, ...)

Q = volume flow (US gpm)

c = cost rate per kWh (USD/kWh, EUR/kWh, ....)

μp = pump efficiency (0 - 1)

μm= motor efficiency (0 - 1)

Alternative calculation in metric units

C = q ρ g h c / (3.6 106 μp μm)

=   q p c / (3.6 106 μp μm)                   (2)

where

q = volume flow (m3/h)

ρ = density (1000 kg/m3)

h = differential head, height (m)

g = acceleration of gravity (9.81 m/s2)

### Example - Pumping Energy Cost

10 US gpm is lifted 10 ft. The electricity cost is 0.1 USD/kWh and the pump and motor efficiency 90% (0.9). The cost per hour can be calculated as

C = 0.746 (10 US gpm) (10 ft) (0.1 USD/kWh) / (3960 0.9 0.9)

= 0.002 USD/hour

.

### Pumping Energy Cost Calculator

#### Metric Units:

• 1 US gpm = 0.227 m3/h
• 1 ft = 0.305 m

## Related Topics

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Design of pumping systems and pipelines. With centrifugal pumps, displacement pumps, cavitation, fluid viscosity, head and pressure, power consumption and more.

## Related Documents

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An introduction to Centrifugal Pumps.

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### Pump Power Calculator

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### Pumping Water - Required Horsepower

Horsepower required to pump water.

### Pumps - Classifications

Centrifugal pumps vs. positive displacement pumps.

### Water - Thermophysical Properties

Thermal properties of water at different temperatures like density, freezing temperature, boiling temperature, latent heat of melting, latent heat of evaporation, critical temperature and more.

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