1. What is the Torque Equation?

The torque equation T = I × α + F × r calculates the total torque required to rotate a wheel, accounting for both rotational inertia and external load forces. This equation is fundamental in mechanical engineering and physics for designing rotational systems.

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( T \) — Total torque (Nm)
• \( I \) — Moment of inertia (kg m²)
• \( \alpha \) — Angular acceleration (rad/s²)
• \( F \) — Force applied (N)
• \( r \) — Radius from center (m)

Explanation: The equation combines the torque needed to overcome rotational inertia (I×α) with the torque required to counteract external forces (F×r).

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing motors, gear systems, and mechanical components to ensure proper operation and prevent system failure.

4. Using the Calculator

Tips: Enter all values in appropriate units. Moment of inertia and radius must be positive values. Angular acceleration and force can be zero if not applicable.

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: When is the F×r term used?
A: The F×r term is used when there's an external force acting tangentially to the wheel that needs to be overcome.

Q3: What are typical torque values for wheels?
A: Torque requirements vary widely based on application - from small fractions of Nm for precision instruments to thousands of Nm for industrial machinery.

Q4: How does radius affect torque?
A: Torque increases linearly with radius - doubling the radius doubles the torque required for the same force.

Q5: Can this equation be used for non-circular objects?
A: Yes, but the moment of inertia calculation becomes more complex for non-symmetrical objects.