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 equation:

Where:

• \( T \) — Torque (Nm)
• \( F \) — Force applied (N)
• \( r \) — Distance from axis (m)
• \( \theta \) — Angle between force vector and lever arm (degrees)

Explanation: The equation calculates the rotational force produced when a force is applied at an angle to a lever arm. The sine function accounts for the angle between the force vector and the lever arm.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, automotive design, and physics. It helps determine the rotational force needed for various applications such as tightening bolts, engine performance, and structural analysis.

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 0-180 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 depends on both the magnitude of force and the distance from the axis of rotation.

Q2: What is the maximum torque possible?
A: Maximum torque occurs when the angle θ is 90 degrees, as sin(90°) = 1. At this angle, the force is applied perpendicular to the lever arm.

Q3: How does angle affect torque?
A: Torque decreases as the angle deviates from 90 degrees. When force is applied parallel to the lever arm (0° or 180°), torque is zero.

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

Q5: Where is torque calculation used in real life?
A: Torque calculations are used in automotive engineering (engine torque), mechanical design (bolt tightening), sports (golf swings), and many other applications involving rotational motion.