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 (Nm)
• \( F \) — Force applied (N)
• \( r \) — Radius or distance from axis (m)
• \( \theta \) — Angle between force vector and lever arm (degrees)

Explanation: The sine function accounts for the fact that only the component of force perpendicular to the lever arm contributes to torque.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, automotive design, robotics, and many other fields. It helps determine the rotational force needed for various applications, from tightening bolts to designing engine components.

4. Using the Calculator

Tips: Enter force in newtons (N), radius in meters (m), and angle in degrees. All values must be valid (force > 0, radius > 0, angle between 0-90 degrees).

5. Frequently Asked Questions (FAQ)

Q1: 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.

Q2: Why is the angle important in torque calculation?
A: The angle determines how much of the applied force actually contributes to rotation. Maximum torque occurs at 90 degrees.

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

Q4: How does lever length affect torque?
A: Longer levers increase torque for the same amount of force, which is why longer wrenches make it easier to loosen tight bolts.

Q5: Can torque be negative?
A: Yes, torque can be negative when it acts in the opposite direction of what is considered positive rotation.