Pump Calculator — Calculate Hydraulic Power, Shaft Power & Motor Power

Pump Calculator

Calculate hydraulic power, shaft power and motor power for your pump system. Enter flow rate, head, specific gravity and efficiency to size your pump correctly.

Reviewed by the Yalla Calculator editorial team · Last updated 15 July 2026 · Uses standard pump power equations

How the pump calculator works

This calculator determines the hydraulic power delivered to the fluid, the shaft power required at the pump shaft, and the motor power needed to drive the pump. It uses the fundamental pump power equation: Hydraulic Power (kW) = (Flow × Head × Specific Gravity × 9.81) / 1000, where flow is in m³/h and head is in meters.

Enter the flow rate, total head, specific gravity of your fluid, pump efficiency and motor efficiency. The calculator instantly shows the hydraulic power, shaft power, motor power, discharge pressure and recommended motor size. Use the activity-level style comparison table to see how different efficiencies affect power requirements.

Step 1: Pump Parameters

Understanding Pump Power

Hydraulic power is the useful power transferred to the fluid. Shaft power includes mechanical losses in the pump. Motor power accounts for electrical and mechanical losses in the motor. Always select a motor with a margin above the calculated value.

Step 2: Efficiency & Settings

75%
90%

Efficiency Guidelines

Typical pump efficiencies range from 40% for small pumps to over 90% for large, well-designed pumps. Motor efficiencies are typically 85–95% for standard induction motors. Higher efficiency reduces operating costs.

Pump Power Results

Required Motor Power

6.8
kW · Recommended motor: 7.5 kW
Hydraulic Power
4.09
Shaft Power
5.45
Motor Power
6.06
Discharge Pressure
2.94

Efficiency Comparison

Power requirements at different pump and motor efficiency combinations, based on your entered flow, head and specific gravity.
Pump Efficiency Motor Efficiency Shaft Power (kW) Motor Power (kW) Recommended Motor

Power Breakdown

Pump Power Calculation Formula

Hydraulic Power = (Q × H × SG × 9.81) / 1000

Where Q = flow rate (m³/h), H = total head (m), SG = specific gravity. Shaft Power = Hydraulic Power / Pump Efficiency. Motor Power = Shaft Power / Motor Efficiency.

Frequently Asked Questions

What is hydraulic power in a pump?

Hydraulic power is the useful power transferred to the fluid by the pump. It is calculated as: Hydraulic Power (kW) = (Flow × Head × Specific Gravity × 9.81) / 1000, where flow is in m³/h and head is in meters.

What is shaft power?

Shaft power is the mechanical power delivered to the pump shaft. It equals the hydraulic power divided by the pump efficiency. It represents the actual power the pump requires to operate.

What is the difference between hydraulic power and shaft power?

Hydraulic power is the power transferred to the fluid, while shaft power is the mechanical power input to the pump. Shaft power is always greater than hydraulic power due to losses in the pump, and the ratio is the pump efficiency.

How do I select the right motor power for a pump?

Motor power is calculated by dividing the shaft power by the motor efficiency. Always select a motor with a power rating higher than the calculated motor power to account for starting torque, voltage variations and other factors — typically 10-15% above the calculated value.

What is specific gravity and why is it important?

Specific gravity is the ratio of the fluid’s density to the density of water. It affects the pressure and power requirements of the pump. For water, specific gravity is 1.0; for heavier fluids like brine (1.2) or lighter fluids like oil (0.85), the power requirement changes proportionally.

Engineering disclaimer: This calculator provides general estimates for educational purposes only and is not a substitute for professional engineering design or analysis. Always consult a qualified engineer for pump selection and system design, especially for critical applications.

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