Ac Motor Horsepower Calculator

AC Motor Horsepower Formula:

\[ HP = \frac{Volts \times Amps \times Efficiency \times Power Factor \times \sqrt{3}}{746} \]

Volts (V):

Amps (A):

Efficiency (%):

Power Factor:

dimensionless

Horsepower (HP):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the AC Motor Horsepower Formula?

The AC motor horsepower formula calculates the mechanical power output of a three-phase AC motor based on electrical input parameters. It provides an accurate estimation of the motor's actual power capability.

2. How Does the Calculator Work?

The calculator uses the AC motor horsepower formula:

\[ HP = \frac{Volts \times Amps \times Efficiency \times Power Factor \times \sqrt{3}}{746} \]

Where:

\( Volts \) — Line-to-line voltage (V)
\( Amps \) — Current draw (A)
\( Efficiency \) — Motor efficiency as percentage (%)
\( Power Factor \) — Ratio of real power to apparent power (0-1)
\( \sqrt{3} \) — Constant for three-phase systems
\( 746 \) — Conversion factor from watts to horsepower

Explanation: The formula accounts for the electrical input power and converts it to mechanical output power, considering the motor's efficiency and power factor.

3. Importance of Horsepower Calculation

Details: Accurate horsepower calculation is crucial for motor selection, system design, energy efficiency analysis, and ensuring proper motor sizing for specific applications.

4. Using the Calculator

Tips: Enter voltage in volts, current in amps, efficiency as percentage (0-100%), and power factor as decimal (0-1). All values must be positive and within valid ranges.

5. Frequently Asked Questions (FAQ)

Q1: Why is the √3 factor used?
A: The √3 factor accounts for the three-phase power system configuration, converting line-to-line measurements to per-phase values.

Q2: What is a typical power factor range?
A: Power factor typically ranges from 0.8 to 0.95 for AC motors, with higher values indicating better electrical efficiency.

Q3: How does efficiency affect horsepower?
A: Efficiency represents the percentage of electrical input power that is converted to mechanical output power. Higher efficiency means more output horsepower for the same electrical input.

Q4: Can this formula be used for single-phase motors?
A: No, this formula is specifically for three-phase motors. Single-phase motors use a different calculation without the √3 factor.

Q5: Why divide by 746?
A: 746 watts equals 1 horsepower, so dividing by 746 converts the power calculation from watts to horsepower.