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# Pumping Water - Energy Cost Calculator

## Calculate the energy cost of pumping water.

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

#### Imperial Units:

Q - Volume flow (US gpm)

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

μp = pump efficiency

μm= motor efficiency

#### Metric Units:

Q - Volume flow (m3/h)

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

μp = pump efficiency

μm= motor efficiency

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

## Related Topics

• Pumps - Piping systems and pumps - centrifugal pumps, displacement pumps - cavitation, viscosity, head and pressure, power consumption and more.

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Temperature

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Length

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yards
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naut miles

Area

m2
km2
in2
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Volume

m3
liters
in3
ft3
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Weight

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Pressure

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mm H2O
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Flow

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US gpm
cfm

3 30