Pump Power Calculator
Calculate pumps 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_{h(kW)} = q ρ g h / (3.6 10^{6})
= q p / (3.6 10^{6}) (1)
where
P_{h(kW)} = hydraulic power (kW)
q = flow (m^{3}/h)
ρ = density of fluid (kg/m^{3})
g = acceleration of gravity (9.81 m/s^{2})
h = differential head (m)
p = differential pressure (N/m^{2}, Pa)
The hydraulic Horse Power can be calculated as:
P_{h(hp)} = P_{h(kW)} / 0.746 (2)
where
P_{h(hp)} = hydraulic horsepower (hp)
Or  alternatively
P_{h(hp)} = q_{gpm} h_{ft} SG / (3960 η) (2b)
where
q_{gpm} = flow (gpm)
h_{ft} = differential head (ft)
SG = Specific Gravity (1 for water)
η = pump efficiency
Example  Power pumping Water, SI Units
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
Example  Power pumping Water, Imperial Units
600 gpm of water is pumped a head of 110 ft. The efficiency ofthe pump i s 60% (0.6) and the specific gravity of water is 1. The pump shaft power can be calculated as
P_{h(kW)} = (60 gpm) (110 ft) (1) / ((3960) (0.6))^{ }
= 27.8 hp
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_{s(kW)} = shaft power (kW)
η = pump efficiency
Online Pump Calculator  SIunits
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:
 Specific weight of water is 62.4 lb/ft^{3}
 Check the relation between Density, Specific Weight and Specific Gravity
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