Enter the volumetric flow, density, pump head, and efficiency into the calculator to determine the pump shaft power.
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Pump Shaft Power Formula
The following formula is used to calculate a pump shaft power.
SP = HP / n
- Where SP is the shaft power (kW)
- HP is the hydraulic power (kW)
- n is the efficiency
The hydraulic power can further be calculated with this formula:
HP = q*p*g*h / (3.6*10^6)
- Where q is the flow rate (m^3/h)
- p is the density (kg/m^3)
- g is the acceleration due to gravity 9.81m/s
- h is the pump head (m)
What is a pump shaft power?
A pump shaft power is the amount of power delivered or provided by the shaft of a pump. It is dependent on the hydraulic power and the efficiency.
How to calculate pump shaft power?
The following example outlines how to calculate a pump shaft power.
First, determine the flow rate. In this example, the pump flow rate is 400 m^3/hr.
Next, determine the density of the fluid being pumped. For this example, the density is 1,225 kg/m^3.
Next, determine the pump head. This pump has a pressure differential of 3 m.
Next, determine the efficiency. This pump has an efficiency of 70% = .70.
Finally, calculate the pump shaft power using the formula above:
SP = HP / n
SP = 400*1225*9.81*3 / (3.6*10^6) / .7
SP = 572.2 kW