1. What is the Torque Formula?

The torque formula calculates the rotational force applied to an object. It is a measure of how much a force acting on an object causes that object to rotate, with the axis of rotation being the pivot point.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

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

Explanation: The formula calculates the rotational effect of a force applied at a distance from a pivot point, with the sine function accounting for 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 optimized.

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 0-90 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 contributes to rotation. Maximum torque occurs at 90 degrees when the force is perpendicular to the lever arm.

Q2: What are common units for torque?
A: Newton-meters (Nm) in the SI system, and pound-feet (lb-ft) in the imperial system.

Q3: How does radius affect torque?
A: Torque increases linearly with radius - doubling the lever arm length doubles the torque for the same applied force.

Q4: What is the difference between torque and force?
A: Force causes linear acceleration, while torque causes rotational acceleration. Torque is essentially the rotational equivalent of force.

Q5: When is torque zero in this formula?
A: Torque is zero when the angle is 0° or 180° (force applied parallel to the lever arm) or when either force or radius is zero.