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Torque Calculator

Torque Equation:

\[ \tau = F \times r \times \sin(\theta) \]

newtons (N)
meters (m)
degrees (°)

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. It represents how much a force acting on an object causes that object to rotate. The SI unit for torque is the newton-meter (N·m).

2. How Does the Torque Calculator Work?

The calculator uses the torque equation:

\[ \tau = F \times r \times \sin(\theta) \]

Where:

Explanation: The equation shows that torque depends on the magnitude of the force, the distance from the pivot point, and the angle at which the force is applied.

3. Importance of Torque Calculation

Details: Torque calculations are essential in mechanical engineering, vehicle dynamics, structural design, and many physics applications. It helps determine rotational effects of forces.

4. Using the Calculator

Tips: Enter force in newtons, distance in meters, and angle in degrees (0-180). For maximum torque, use 90° angle. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between torque and force?
A: Force causes linear acceleration, while torque causes angular acceleration (rotation). Torque depends on both force and where it's applied.

Q2: Why does angle affect torque?
A: Only the perpendicular component of force contributes to torque. At 0° or 180°, there's no rotational effect (torque = 0).

Q3: What's the right-hand rule for torque?
A: Point fingers in direction of r, curl toward F; thumb points in torque direction. This determines rotation direction (clockwise/counterclockwise).

Q4: How is torque used in real life?
A: Applications include tightening bolts (specific torque specs), engine performance (horsepower relates to torque), and wrench design.

Q5: What if the angle is exactly 90 degrees?
A: At 90°, sin(θ) = 1, so torque is simply F × r (maximum value for given force and distance).

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