1. What is the Power Formula?

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

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

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

Explanation: This formula expresses the relationship between rotational force (torque) and rotational speed (angular velocity) to determine the power output of rotating machinery.

3. Importance of Power Calculation

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

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, remember that 1 RPM = 0.10472 rad/s.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 0.10472 to get rad/s. For example, 1000 RPM = 1000 × 0.10472 = 104.72 rad/s.

Q2: 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.

Q3: Can I use this for electric motors?
A: Yes, this formula applies to all rotating machinery including electric motors, engines, and turbines.

Q4: What are typical power ranges for motors?
A: Small motors: 0.1-1 kW, Medium motors: 1-100 kW, Large motors: 100+ kW. Industrial motors can reach several megawatts.

Q5: How accurate is this calculation?
A: The calculation provides theoretical mechanical power. Actual power may vary due to efficiency losses, friction, and other factors.