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Calculate HP for Hydraulic Pump

Hydraulic Pump Power Formula:

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

GPM
ft
lb/gal
(0-1)

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1. What is Hydraulic Pump Power Calculation?

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

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Pump Power Calculation

Details: Proper power calculation ensures efficient system operation, prevents pump overload, and helps select appropriately sized motors.

4. Using the Calculator

Tips: Enter the flow rate in GPM, head pressure 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 various unit conversions to give the result directly in horsepower.

Q2: What's a typical pump efficiency value?
A: Most pumps operate at 70-90% efficiency (0.7-0.9). Gear pumps are typically 0.7-0.85, while piston pumps can reach 0.9.

Q3: How do I determine fluid density?
A: Water is 8.34 lb/gal. For other fluids, consult material safety data sheets or density tables.

Q4: Does this include system losses?
A: No, this calculates pump power only. System losses (piping, valves) require additional calculations.

Q5: Can I use this for air or gas pumps?
A: No, this formula is specifically for incompressible fluids. Gas calculations require different approaches.

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