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Electric Motor HP Formula

Electric Motor Horsepower Formula:

\[ HP = \frac{V \times I \times \eta \times PF}{746} \]

volts
amps

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1. What is the Electric Motor HP Formula?

Definition: This calculator determines the horsepower of an electric motor based on voltage, current, efficiency, and power factor.

Purpose: It helps electrical engineers and technicians calculate motor power requirements for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{V \times I \times \eta \times PF}{746} \]

Where:

Explanation: The product of voltage and current gives apparent power, which is then adjusted by efficiency and power factor to get real mechanical power in horsepower.

3. Importance of HP Calculation

Details: Proper motor sizing ensures efficient operation, prevents overload, and matches power requirements to mechanical loads.

4. Using the Calculator

Tips: Enter the voltage in volts, current in amps, efficiency (default 0.9), and power factor (default 0.85). Efficiency and power factor must be between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 746?
A: 746 watts equals 1 horsepower, so we convert electrical power (watts) to mechanical power (HP).

Q2: What's a typical motor efficiency?
A: Most electric motors have efficiencies between 0.8 and 0.95 (80-95%).

Q3: What affects power factor?
A: Load conditions, motor design, and reactive power consumption affect power factor.

Q4: Can I use this for three-phase motors?
A: For three-phase, you need to multiply by √3 (1.732) and consider phase relationships.

Q5: How accurate is this calculation?
A: It provides theoretical values; actual performance may vary due to operating conditions.

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