1. What is Torque?

Definition: Torque is a measure of the rotational force applied to an object. It determines how much an object will rotate when a force is applied.

Purpose: This calculator helps determine the magnitude of torque produced when a force is applied at an angle to a lever arm.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( \tau \) — Torque (Newton-meters, Nm)
• \( F \) — Applied force (Newtons, N)
• \( d \) — Distance from pivot point (meters, m)
• \( \theta \) — Angle between force and lever arm (degrees)

Explanation: The torque is maximized when the force is perpendicular to the lever arm (θ = 90°), and zero when parallel (θ = 0° or 180°).

3. Importance of Torque Calculation

Details: Understanding torque is crucial in mechanical engineering, vehicle dynamics, and any application involving rotational motion.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0-180). The angle defaults to 90° for maximum torque.

5. Frequently Asked Questions (FAQ)

Q1: Why is angle important in torque calculation?
A: Only the perpendicular component of the force contributes to torque. The sin(θ) term accounts for this.

Q2: What units should I use?
A: Use Newtons for force, meters for distance, and degrees for angle. The result is in Newton-meters (Nm).

Q3: What's the difference between torque and force?
A: Force causes linear acceleration, while torque causes angular acceleration (rotation).

Q4: Why does torque decrease when angle changes from 90°?
A: At angles other than 90°, some of the force is parallel to the lever arm and doesn't contribute to rotation.

Q5: How is torque applied in real-world applications?
A: Torque is crucial in engines (crankshaft torque), tools (wrenches), and any rotating machinery.