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, automotive design, and many other fields where rotational forces need to be measured and controlled.

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 maximum torque possible?
A: Maximum torque occurs when the angle is 90 degrees (sin(90) = 1), where the force is applied perpendicular to the lever arm.

Q2: What happens when the angle is 0 degrees?
A: When the angle is 0 degrees, sin(0) = 0, so the torque is zero regardless of the force magnitude.

Q3: How does torque relate to rotational motion?
A: Torque is directly proportional to angular acceleration, similar to how force relates to linear acceleration (Newton's second law for rotation).

Q4: What are common units for torque?
A: Newton-meters (Nm) in the SI system, and pound-feet (lb-ft) in the imperial system.

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.