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Pump Motor Power Calculation Formula

Pump Power Equation:

\[ P = \frac{Q \times H \times \rho \times g}{3600 \times \eta} \]

m³/h
meters
kg/m³
(0-1)

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1. What is the Pump Power Equation?

The pump motor power equation calculates the required power for a pump based on flow rate, head, fluid density, and pump efficiency. It's essential for proper pump selection and energy efficiency.

2. How Does the Calculator Work?

The calculator uses the pump power equation:

\[ P = \frac{Q \times H \times \rho \times g}{3600 \times \eta} \]

Where:

Explanation: The equation calculates the theoretical power required to move a fluid at a given flow rate against a specific head, accounting for the pump's efficiency.

3. Importance of Pump Power Calculation

Details: Accurate power calculation ensures proper pump selection, prevents under/over-sizing, optimizes energy consumption, and reduces operational costs.

4. Using the Calculator

Tips: Enter flow rate in m³/h, head in meters, density in kg/m³, and efficiency as a decimal (0-1). Typical water density is 1000 kg/m³. Standard pump efficiency ranges from 0.7-0.9.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 70-90% efficiency (0.7-0.9). Always check manufacturer specifications for exact values.

Q2: How does density affect pump power?
A: Power is directly proportional to density. More viscous fluids require more power to pump at the same flow rate and head.

Q3: What safety factor should I add?
A: Engineers often add 10-20% safety margin to the calculated power to account for system losses and future demands.

Q4: Can I use this for other units?
A: The calculator uses metric units. For imperial units, conversions are needed (1 m³/h = 4.4029 gpm, 1 m = 3.2808 ft).

Q5: What if my pump has variable speed?
A: This calculates power at design conditions. Variable speed pumps may operate at lower power during reduced flow periods.

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