1. What is the Power-Torque Relationship?

The fundamental relationship between power (P), torque (T), and angular velocity (ω) is expressed as P = T × ω. This equation shows how rotational force (torque) and rotational speed combine to produce mechanical power.

2. How Does the Calculator Work?

The calculator uses the power-torque equation:

Where:

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

Explanation: This equation demonstrates that power output increases with both the amount of torque applied and the speed at which it's applied.

3. Importance of Power and Torque Calculation

Details: Understanding the relationship between torque and power is essential in mechanical engineering, automotive design, and various industrial applications where rotational systems are involved.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power combines both torque and rotational speed.

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

Q3: Can I use this for electric motors?
A: Yes, this equation applies to all rotational systems including electric motors, engines, and mechanical drives.

Q4: What are typical torque values for common applications?
A: Small electric motors might produce 0.1-1 Nm, while automotive engines can produce hundreds of Nm.

Q5: How does gearing affect torque and power?
A: Gearing can change torque and speed, but the maximum power output remains constant (minus efficiency losses).