How to calculate the power required for a water pump. 1. Pump system The diagram shows a pump moving water from the suction side to the discharge side. H = Head: The height/distance the pump must lift the water. Suction: Where water enters the pump. Discharge: Where water leaves the pump. 2. Formula The formula used is: Where: P = Pump power in watts (W) ρ (rho) = Fluid density, for water 1000 kg/m³ g = Gravity, 9.81 m/s² Q = Flow rate in m³/s H = Pump head in meters η (eta) = Pump efficiency as a decimal 3. Given values The example gives: Flow rate Q = 75 m³/hour Head H = 30 m Water density ρ = 1000 kg/m³ Efficiency η = 70% = 0.70 First, convert the flow rate from m³/hour to m³/second: 4. Calculation Putting the values into the formula: This gives approximately: or: 5. Final answer The calculated pump power is 8.75 kW. In practical pump selection, you would normally choose a motor with some safety margin, so a motor larger than 8.75 kW may be selected depending on the pump's actual performance, starting conditions, and manufacturer specifications.
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