1. What is Motor Power?

Motor power represents the rate at which work is done or energy is transferred in a motor system. It is calculated as the product of torque and angular velocity, providing crucial information about a motor's performance capabilities and energy requirements.

2. How Does the Calculator Work?

The calculator uses the fundamental power formula:

Where:

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

Explanation: This formula expresses the relationship between rotational force (torque), rotational speed (angular velocity), and the resulting mechanical power output.

3. Importance of Power Calculation

Details: Accurate motor power calculation is essential for proper motor selection, system design, energy efficiency analysis, and ensuring that motors operate within their safe working limits to prevent overheating and mechanical failure.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers. For RPM conversion to rad/s, multiply RPM by \( \frac{2\pi}{60} \).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is the rotational force, while power is the rate at which work is done. Power combines both torque and speed to indicate overall performance capability.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) (approximately 0.10472). For example, 1000 RPM = 1000 × 0.10472 = 104.72 rad/s.

Q3: What are typical power ranges for different motor types?
A: Small motors: 1W-100W, Medium motors: 100W-10kW, Large industrial motors: 10kW-1MW. Specific ranges depend on application and motor type.

Q4: Why is power measured in watts?
A: Watts are the SI unit for power, representing joules per second. This standardization allows for consistent measurement and comparison across different motor systems.

Q5: Can this formula be used for all types of motors?
A: Yes, this fundamental mechanical power formula applies to all rotating machinery including AC/DC motors, servo motors, and hydraulic motors, though efficiency factors may need consideration.