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Power Formula in HP

Power Formula in Horsepower (Motors):

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

volts
amps

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1. What is the Power Formula in HP?

Definition: This calculator computes the mechanical power output in horsepower (HP) based on electrical input parameters.

Purpose: It helps electrical engineers and technicians determine the mechanical power output of motors based on their electrical characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The electrical power (V×I) is adjusted for motor efficiency and power factor, then converted to mechanical horsepower.

3. Importance of Power Calculation

Details: Accurate HP calculation ensures proper motor sizing, energy efficiency, and system performance in industrial and commercial applications.

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 divide by this number to convert from watts to HP.

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

Q3: What affects power factor?
A: Power factor depends on motor type and load conditions, typically ranging from 0.7 to 0.95.

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

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

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