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Engineering Toolbox Torque Calculator

Torque Formula:

\[ \tau = r \times F \]

m
N

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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 the force applied 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:

\[ \tau = r \times F \]

Where:

Explanation: The torque increases with either larger force application or longer moment arm distance from the pivot point.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial in mechanical engineering, automotive design, structural analysis, and many other fields where rotational forces need to be measured and controlled.

4. Using the Calculator

Tips: Enter radius in meters and force in newtons. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of torque?
A: The SI unit of torque is Newton-meter (N·m). Other common units include pound-feet (lb·ft) and kilogram-force meter (kgf·m).

Q2: How does torque differ from force?
A: While force causes linear acceleration, torque causes rotational acceleration. Torque depends on both the magnitude of force and the distance from the pivot point.

Q3: What is moment arm in torque calculation?
A: The moment arm is the perpendicular distance from the axis of rotation to the line of action of the force. It determines the leverage effect in torque production.

Q4: Can torque be negative?
A: Yes, torque can be negative when it acts in the opposite direction of what is considered positive rotation, typically clockwise vs counterclockwise.

Q5: How is torque applied in real-world applications?
A: Torque is essential in automotive engines (engine torque), mechanical fasteners (bolt tightening), electric motors, and many mechanical systems involving rotation.

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