1. What is the Torque Calculation Formula?

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

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( T \) — Torque (Newton-meters)
• \( F \) — Force applied (Newtons)
• \( r \) — Distance from axis (meters)
• \( \theta \) — 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: Accurate torque calculation is crucial for mechanical design, automotive engineering, structural analysis, and understanding rotational dynamics in various applications from simple tools to complex machinery.

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 force is applied perpendicular to the lever arm (θ = 90°), where sin(θ) = 1.

Q2: What happens when the angle is 0 degrees?
A: When θ = 0°, sin(0) = 0, so torque = 0. The force is applied directly toward or away from the pivot point, creating no rotation.

Q3: How does torque differ from force?
A: Force causes linear acceleration, while torque causes angular acceleration or rotation around an axis.

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

Q5: Why is the angle important in torque calculation?
A: The angle determines how much of the applied force contributes to rotation. Only the perpendicular component of the force creates torque.