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Pump Horsepower Calculation Formula

Pump Horsepower Formula:

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

GPM
ft
lb/gal

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1. What is Pump Horsepower Calculation?

Definition: This calculator determines the required pump horsepower based on flow rate, head pressure, 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 required to move a specific volume of fluid against a given pressure head, accounting for pump efficiency.

3. Importance of Pump Horsepower Calculation

Details: Proper pump sizing ensures energy efficiency, prevents motor overload, and ensures adequate system performance.

4. Using the Calculator

Tips: Enter flow rate in GPM, head in feet, density in lb/gal (default 8.34 for water), and efficiency as decimal (default 0.85). 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 unit conversions to give horsepower directly.

Q2: What's a typical pump efficiency value?
A: Most pumps operate between 70-90% efficiency (0.7-0.9). Centrifugal pumps typically range 0.6-0.85.

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

Q4: When would I change the density value?
A: When pumping fluids other than water (e.g., oils, chemicals) with different densities.

Q5: Should I add a safety factor?
A: Yes, it's common to add 10-20% to the calculated horsepower for safety margin.

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