1. What is Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity, meaning it has both magnitude and direction. Torque is calculated as the product of force and the perpendicular distance from the axis of rotation to the line of action of the force.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( T \) — Torque (Newton-meters, Nm)
• \( F \) — Force applied (Newtons, N)
• \( r \) — Distance from pivot point (meters, m)
• \( \theta \) — Angle between force vector and lever arm (degrees)

Explanation: The sine function accounts for the component of force that is perpendicular to the lever arm, which is the effective force causing rotation.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, physics, and various applications including automotive systems, machinery design, and structural analysis. Understanding torque helps in designing efficient mechanical systems and ensuring proper operation of rotating equipment.

4. Using the Calculator

Tips: Enter force in Newtons, radius in meters, and angle in degrees. All values must be valid (force > 0, radius > 0, angle between 0-360 degrees).

5. Frequently Asked Questions (FAQ)

Q1: Why is the angle important in torque calculation?
A: The angle determines how much of the applied force actually contributes to rotation. Only the component perpendicular to the lever arm creates torque.

Q2: What is maximum torque achieved?
A: Maximum torque occurs when the angle is 90 degrees, as sin(90°) = 1, meaning all force is applied perpendicular to the lever arm.

Q3: What are common units for torque?
A: Newton-meters (Nm) in the SI system, and foot-pounds (ft-lb) or inch-pounds (in-lb) in the imperial system.

Q4: How does torque differ from force?
A: Force causes linear acceleration, while torque causes rotational acceleration. Torque depends on both the magnitude of force and where it's applied.

Q5: Can torque be negative?
A: Yes, torque can be negative indicating rotation in the opposite direction, but our calculator provides the magnitude only.