1. What is the Torque Formula?

The torque formula T = I × α calculates the rotational force (torque) required to produce angular acceleration in a rotating object, where I is the moment of inertia and α is the angular acceleration.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( T \) — Torque (Nm)
• \( I \) — Moment of Inertia (kg m²)
• \( \alpha \) — Angular Acceleration (rad/s²)

Explanation: The formula shows the direct proportional relationship between torque and both moment of inertia and angular acceleration.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, robotics, automotive design, and physics to determine the rotational force needed to achieve desired angular acceleration in rotating systems.

4. Using the Calculator

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

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 axis of rotation.

Q2: What is angular acceleration?
A: Angular acceleration is the rate of change of angular velocity over time, measured in radians per second squared (rad/s²).

Q3: What are typical torque values in mechanical systems?
A: Torque values vary widely depending on the application, from small fractional Nm values in precision instruments to thousands of Nm in heavy machinery.

Q4: How does this relate to Newton's second law for rotation?
A: T = I × α is the rotational equivalent of F = m × a, where torque corresponds to force, moment of inertia to mass, and angular acceleration to linear acceleration.

Q5: Can this formula be used for complex rotating systems?
A: For complex systems with multiple rotating components, the total moment of inertia must be calculated by summing the moments of inertia of all components.