Home Back

Pump Power Calculation Formula

Pump Power Formula:

\[ HP = \frac{Q \times H \times \rho}{3960 \times \eta} \]

GPM
ft
lb/gal

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Pump Power Calculation?

Definition: This calculator determines the hydraulic horsepower required by a pump based on flow rate, head, fluid density, and pump efficiency.

Purpose: It helps engineers and technicians properly size pumps for various fluid transfer applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{Q \times H \times \rho}{3960 \times \eta} \]

Where:

Explanation: The formula calculates the power needed to move a specific volume of fluid against a certain head pressure, accounting for pump efficiency.

3. Importance of Pump Power Calculation

Details: Accurate power calculation ensures proper pump selection, energy efficiency, and system reliability in water supply, irrigation, and industrial processes.

4. Using the Calculator

Tips: Enter the flow rate (GPM), total head (ft), fluid density (default 8.34 lb/gal for water), and pump efficiency (default 0.8 for 80%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the constant 3960 in the formula?
A: It's a conversion factor that combines various unit conversions to give the result in horsepower.

Q2: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 60-85% efficiency (0.6-0.85), while positive displacement pumps can reach 90% (0.9).

Q3: How do I determine total head?
A: Total head includes static head, friction losses, and pressure differences in the system.

Q4: Why is fluid density important?
A: Denser fluids require more power to pump at the same flow rate and head.

Q5: Should I add a safety factor?
A: Yes, consider adding 10-20% to the calculated power for safety margins and future capacity needs.

Pump Power Calculation Formula© - All Rights Reserved 2025