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Hydraulic Pump Motor Power Calculation

Motor Power Formula:

\[ P_e = \frac{Q \times H \times \rho \times 0.746}{3960 \times \eta} \]

GPM
ft
lb/gal

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1. What is Hydraulic Pump Motor Power Calculation?

Definition: This calculator estimates the electric motor power required to drive a hydraulic pump based on flow rate, head, fluid density, and pump efficiency.

Purpose: It helps engineers and technicians properly size electric motors for hydraulic systems to ensure efficient operation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_e = \frac{Q \times H \times \rho \times 0.746}{3960 \times \eta} \]

Where:

Explanation: The formula converts hydraulic power to electric motor power, accounting for unit conversions and pump efficiency.

3. Importance of Proper Motor Sizing

Details: Correct motor sizing ensures energy efficiency, prevents motor overload, and extends equipment lifespan.

4. Using the Calculator

Tips: Enter the 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's a typical pump efficiency value?
A: Most pumps operate between 0.7-0.9 efficiency. Newer pumps may be 0.85-0.95 efficient.

Q2: Why is density important in this calculation?
A: Denser fluids require more power to pump at the same flow rate and head.

Q3: What's the 0.746 factor for?
A: This converts horsepower to kilowatts (1 HP = 0.746 kW).

Q4: How do I account for motor efficiency?
A: Divide the result by motor efficiency if you want to calculate input electrical power.

Q5: What's the 3960 constant?
A: This is a unit conversion factor that combines several constants to simplify the formula.

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