1. What is the Motor Rated Power Formula?

The motor rated power formula calculates the mechanical power output of an electric motor based on its torque and rotational speed. It's essential for motor selection and system design in engineering applications.

2. How Does the Calculator Work?

The calculator uses the motor power equation:

Where:

• \( P \) — Power in kilowatts (kW)
• \( T \) — Torque in Newton-meters (Nm)
• \( \omega \) — Angular speed in revolutions per minute (rpm)
• 9550 — Conversion factor (derived from 60,000/(2π))

Explanation: The formula converts the product of torque and angular speed to power in kilowatts, accounting for unit conversions.

3. Importance of Motor Power Calculation

Details: Accurate power calculation is crucial for proper motor sizing, energy efficiency assessment, and ensuring the motor can handle the required mechanical load.

4. Using the Calculator

Tips: Enter torque in Nm and speed in rpm. Both values must be positive numbers. The result will be the mechanical power output in kilowatts (kW).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between rated power and actual power?
A: Rated power is the maximum continuous power the motor is designed to deliver, while actual power depends on the operating conditions.

Q2: How does this relate to electrical power input?
A: Electrical input power would be higher due to motor efficiency losses (typically 80-95% for electric motors).

Q3: Can I use this for hydraulic motors?
A: Yes, the formula applies to any rotational power transmission, though hydraulic systems have additional considerations.

Q4: What if my speed is in rad/s instead of rpm?
A: For angular speed in rad/s, use P = T × ω (result in watts), then divide by 1000 for kW.

Q5: How does power factor affect this calculation?
A: Power factor only affects electrical input power, not the mechanical power output calculated here.