1. What is Torque?

Torque is a measure of the rotational force applied to an object. It represents the tendency of a force to rotate an object about an axis, fulcrum, or pivot. In mechanical systems, torque is crucial for understanding rotational motion and power transmission.

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( \tau \) — Torque (N·m)
• \( P \) — Power (W)
• \( \omega \) — Angular Velocity (rad/s)

Explanation: This equation relates the rotational power output to the torque and angular velocity, showing that for a given power, torque decreases as angular velocity increases.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and engines, analyzing rotational dynamics, and ensuring proper operation of machinery and vehicles.

4. Using the Calculator

Tips: Enter power in watts (W) and angular velocity in radians per second (rad/s). Both values must be positive numbers greater than zero.

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 equals torque multiplied by angular velocity.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. For example, 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

Q3: What are typical torque values in automotive applications?
A: Passenger car engines typically produce 100-400 N·m of torque, while heavy-duty trucks can produce 1000-3000 N·m.

Q4: Can this formula be used for electrical motors?
A: Yes, this formula applies to any rotational system where power and angular velocity are known, including electric motors.

Q5: Why is torque important in mechanical design?
A: Torque determines the twisting force on components, which is critical for sizing shafts, gears, bolts, and other mechanical elements to prevent failure.