Home Back

Brake Horsepower Formula for Pump

Brake Horsepower Formula:

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

GPM
ft
lb/gal

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Brake Horsepower for Pumps?

Definition: Brake horsepower (BHP) is the actual horsepower delivered to the pump shaft, accounting for the pump's efficiency.

Purpose: It helps engineers and technicians determine the power requirements for pumps in various fluid systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the power required to move a specific volume of fluid against a given head pressure, adjusted for pump efficiency.

3. Importance of BHP Calculation

Details: Proper BHP calculation ensures correct pump sizing, prevents motor overload, and optimizes energy consumption in fluid systems.

4. Using the Calculator

Tips: Enter the flow rate in GPM, total head in feet, fluid density (default 8.34 lb/gal for water), and pump efficiency (default 0.85). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between BHP and WHP?
A: Brake horsepower (BHP) is power at the pump shaft, while water horsepower (WHP) is the hydraulic power delivered to the fluid.

Q2: Why is 3960 in the formula?
A: It's a conversion factor that combines unit conversions (1 HP = 550 ft-lb/sec) with the weight of water (8.34 lb/gal).

Q3: What's a typical pump efficiency?
A: Centrifugal pumps typically range from 50-85% efficiency, while positive displacement pumps can reach 90% or more.

Q4: How do I find total head?
A: Total head is the sum of static head, friction head, and pressure head in the system.

Q5: When would fluid density change?
A: Density varies with fluid type (oil, chemicals) and temperature (cold water is denser than warm water).

Brake Horsepower Formula for Pump© - All Rights Reserved 2025