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Brake Power Calculation Formula

Brake Horsepower Formula:

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

GPM
ft
lb/gal

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1. What is Brake Horsepower (BHP)?

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

Purpose: It helps determine the power requirement for pumps in various industrial and mechanical applications.

2. How Does the BHP Formula 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 fluid at a given flow rate against a specific head, adjusted for pump efficiency.

3. Importance of BHP Calculation

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

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 0.85). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the 3960 constant in the formula?
A: It's a conversion factor that combines unit conversions to give the result in horsepower (1 HP = 550 ft-lb/sec).

Q2: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 0.7 to 0.9 (70-90%), but always check manufacturer specifications.

Q3: How do I find total head (H)?
A: Total head is the sum of static head, friction head, and pressure head in the system.

Q4: What if my fluid isn't water?
A: Adjust the density (ρ) value accordingly. For example, seawater is about 8.56 lb/gal.

Q5: How does BHP relate to motor HP?
A: Motor HP should be slightly higher than BHP to account for service factors and safety margins.

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