1. What is the Torque Formula?

The torque formula calculates the rotational force applied to an object. Torque is a measure of how much a force acting on an object causes that object to rotate, and it depends on the magnitude of the force, the distance from the pivot point, and the angle between the force vector and the lever arm.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

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

Explanation: The formula calculates the rotational effect of a force applied at a certain distance from a pivot point, taking into account the angle of application.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, physics, and various applications involving rotational motion, such as engine design, machinery operation, and structural analysis.

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 0-180 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the unit of torque?
A: Torque is measured in Newton-meters (Nm) in the SI system.

Q2: Why is the angle important in torque calculation?
A: The angle determines how much of the force contributes to rotation. Maximum torque occurs when the force is perpendicular to the lever arm (θ = 90°).

Q3: What happens when the angle is 0 degrees?
A: When the force is parallel to the lever arm (θ = 0°), sin(0) = 0, so no torque is produced as the force doesn't cause rotation.

Q4: Can torque be negative?
A: Yes, torque can be negative, indicating rotation in the opposite direction (clockwise vs. counterclockwise).

Q5: How is torque different from force?
A: Force causes linear acceleration, while torque causes rotational acceleration. Torque depends on both the magnitude of force and its point of application.