1. What is the Torque Formula?

The torque formula (T = F × r × sin(θ)) calculates the rotational force or moment of force about an axis. It's a fundamental concept in physics and engineering that describes how much a force acting on an object causes that object to rotate.

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 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, automotive design, robotics, and many other fields where rotational motion and forces are involved. It helps determine the effectiveness of forces in causing rotation.

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 torque measured in?
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 at 90 degrees when sin(θ) = 1.

Q3: What happens when the angle is 0 degrees?
A: When θ = 0°, sin(0) = 0, so torque is zero - the force produces no rotational effect.

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

Q5: What are some real-world applications of torque?
A: Torque is used in wrenches, engines, electric motors, gear systems, and any application involving rotational force.