1. What is the Motor Power Equation?

The motor power equation relates the mechanical power output of a motor to its torque and angular velocity. It's fundamental in mechanical engineering and motor design.

2. How Does the Calculator Work?

The calculator uses the motor power equation:

Where:

• \( P \) — Power in watts (W)
• \( \tau \) — 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 mechanical system design.

4. Using the Calculator

Tips: Enter torque in Nm and angular speed in rad/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: What's the difference between mechanical and electrical power?
A: This calculator gives mechanical power output. Electrical power input would be higher due to efficiency losses.

Q3: Can I use this for hydraulic motors?
A: Yes, the same fundamental equation applies to all rotational mechanical systems.

Q4: What are typical torque values for small electric motors?
A: Small DC motors might produce 0.01-0.1 Nm, while larger industrial motors can produce hundreds of Nm.

Q5: How does power relate to energy?
A: Power is the rate of energy transfer. Energy (in joules) would be power × time.