ENGINEERING – ELECTRICAL ENGINEERING (POWER) CALCULATOR Motor Power Sizing A precise tool.
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What is the Motor Power Sizing & How does it work?

Motor power sizing for pumps and fans starts with the hydraulic power needed to move a fluid or air through a system. This hydraulic power depends on the flow rate, the head (or pressure rise) that must be achieved, and the physical properties of the fluid such as density and gravity.

Because real equipment is not perfectly efficient, the motor must supply more power than the pure hydraulic requirement. The pump (or fan) efficiency and the motor efficiency are applied as multiplicative factors that reduce the usable power, so the motor power is the hydraulic power divided by the product of these efficiencies.

P_{motor}=frac{rho,g,Q,H}{eta_{p},eta_{m}}
rho = fluid density (kg/mΒ³)  |  g = gravitational acceleration (9.81 m/sΒ²)  |  Q = flow rate (mΒ³/s)  |  H = head (m)  |  eta_{p} = pump efficiency (decimal)  |  eta_{m} = motor efficiency (decimal)

When performing the calculation, keep all units consistent (e.g., meters, seconds, kilograms) and convert efficiencies from percent to decimal. The result is typically expressed in kilowatts (kW) and should be rounded up to the next standard motor size, adding a safety margin for overload and future capacity growth.

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Frequently Asked Questions
How do I calculate hydraulic power for a pump?
Hydraulic power is calculated by multiplying the flow rate (in cubic meters per second) by the head (in meters) and then by the fluid's density (in kilograms per cubic meter).
What factors affect motor power sizing?
Motor power sizing depends on flow rate, head, fluid properties like density, and efficiency of both the pump and motor.
How do I account for inefficiencies in the system?
Multiply the hydraulic power by the combined efficiency factors of the pump and motor to get the actual motor power required.
Can this calculator be used for fans as well?
Yes, the same principles apply to fans. Just use air density instead of fluid density in the calculations.
What units should I use for flow rate and head?
Use cubic meters per second (mΒ³/s) for flow rate and meters (m) for head in metric systems, or gallons per minute (GPM) and feet (ft) in imperial systems.
How do I convert hydraulic power to electrical power?
Multiply the hydraulic power by the motor efficiency and then divide by the pump efficiency to get the electrical power required.
What is the significance of fluid density in this calculation?
Fluid density affects how much energy is needed to move a given volume of fluid, influencing the overall hydraulic power requirement.

Results are for informational purposes only and do not constitute professional advice.