1. What is Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. It is the rotational equivalent of linear force and is calculated as the product of moment of inertia and angular acceleration.

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( \tau \) — Torque (N·m)
• \( I \) — Moment of inertia (kg·m²)
• \( \alpha \) — Angular acceleration (rad/s²)

Explanation: The equation shows that torque is directly proportional to both the moment of inertia and the angular acceleration of the object.

3. Importance of Torque Calculation

Details: Calculating torque is essential for designing mechanical systems, determining motor requirements, and ensuring proper operation of rotating machinery.

4. Using the Calculator

Tips: Enter moment of inertia in kg·m² and angular acceleration in rad/s². Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is moment of inertia?
A: Moment of inertia is a measure of an object's resistance to changes in its rotation rate. It depends on the mass distribution relative to the rotation axis.

Q2: What are typical torque values for motors?
A: Small electric motors might produce 0.1-10 N·m, while large industrial motors can produce thousands of N·m.

Q3: How does torque relate to power?
A: Power (P) is the product of torque (τ) and angular velocity (ω): P = τ × ω.

Q4: What's the difference between static and dynamic torque?
A: Static torque is force applied without rotation, while dynamic torque occurs during rotation with angular acceleration.

Q5: How do you increase torque in a system?
A: You can increase torque by increasing the moment of inertia or angular acceleration, or by using mechanical advantage (gears, pulleys).