1. What is the Power Formula?

The power formula P = τ × ω calculates mechanical power from torque and angular velocity. This fundamental equation in physics and engineering relates rotational motion to power output.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

• \( P \) — Power (Watts)
• \( \tau \) — Torque (Newton-meters)
• \( \omega \) — Angular velocity (radians per second)

Explanation: The formula multiplies torque by angular velocity to determine the rate at which work is done in a rotational system.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, evaluating engine/motor performance, and ensuring proper component sizing in rotational applications.

4. Using the Calculator

Tips: Enter torque in N·m and angular velocity in rad/s. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for torque and angular velocity?
A: Torque should be in Newton-meters (N·m) and angular velocity in radians per second (rad/s) for power in Watts.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to convert to rad/s.

Q3: What is a typical power range for common applications?
A: Small motors: 10-1000W, automotive engines: 50-500kW, industrial machinery: 1-1000kW.

Q4: Can this formula be used for electrical systems?
A: While the formula is mechanical, similar principles apply to electrical power (P = V × I), but with different units and concepts.

Q5: What are common sources of error in power calculation?
A: Measurement inaccuracies in torque or speed, friction losses, and efficiency factors not accounted for in the basic formula.