Q = volume flow (US gpm)
h = differential head (ft)
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)
q = volume flow (m3/h)
ρ = density (1000 kg/m3)
h = differential head, height (m)
g = acceleration of gravity (9.81 m/s2)
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
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