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Pump Power Output Formula

Pump Power Formula:

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

GPM
ft
lb/gal

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1. What is Pump Power Output?

Definition: This calculator determines the horsepower required by a pump to move fluid at a specified flow rate against a given head pressure.

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 theoretical power required to move the fluid, then divides by pump efficiency to get actual power needed.

3. Importance of Pump Power Calculation

Details: Proper pump sizing ensures efficient operation, prevents motor overload, and reduces energy costs.

4. Using the Calculator

Tips: Enter flow rate in GPM, 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 is the constant 3960 in the formula?
A: It's a conversion factor that combines unit conversions to give the result directly in horsepower.

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

Q3: How do I determine total dynamic head?
A: It's the sum of static head, friction losses, and pressure head in the system.

Q4: What if my fluid isn't water?
A: Adjust the density value accordingly (e.g., 7.2 lb/gal for diesel, 9.3 lb/gal for seawater).

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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