1. What is the Electric Motor Power Equation?

The electric motor power equation calculates mechanical power from torque and angular velocity. It's fundamental in electrical engineering for determining motor performance and energy requirements.

2. How Does the Calculator Work?

The calculator uses the power equation:

Where:

• \( P \) — Power in watts
• \( \tau \) — Torque in newton-meters (Nm)
• \( \omega \) — Angular speed in radians per second (rad/s)

Explanation: The equation shows that power is the product of torque and angular velocity. Higher torque or faster rotation results in greater power output.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for motor selection, energy efficiency analysis, and system design in electrical and mechanical applications.

4. Using the Calculator

Tips: Enter torque in Nm and angular speed in rad/s. Both values must be positive numbers for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: How to convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to rad/s.

Q2: What are typical torque values for electric motors?
A: Small motors might produce 0.1-1 Nm, while industrial motors can produce hundreds of Nm.

Q3: How does this relate to electrical power input?
A: Mechanical power output is typically less than electrical power input due to efficiency losses (heat, friction).

Q4: Can this be used for generators too?
A: Yes, the same equation applies to generators, where mechanical power is converted to electrical power.

Q5: What if I only know horsepower?
A: 1 horsepower ≈ 745.7 watts. You can convert horsepower to watts before using this calculator.