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Calculating Torque In The Figure

Torque Equation:

\[ \tau = F \times d_{\perp} \]

N
m

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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. In physics, torque is often described as the rotational equivalent of linear force.

2. How Does the Calculator Work?

The calculator uses the torque equation:

\[ \tau = F \times d_{\perp} \]

Where:

Explanation: The torque is calculated by multiplying the applied force by the perpendicular distance from the axis of rotation to the line of action of the force.

3. Importance of Torque Calculation

Details: Torque calculation is crucial in mechanical engineering, automotive design, robotics, and many other fields where rotational motion is involved. It helps determine the twisting force required to rotate objects and is essential for designing mechanical systems.

4. Using the Calculator

Tips: Enter the force in Newtons and the perpendicular distance in meters. Both values must be positive numbers greater than zero for accurate calculation.

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 pivot point.

Q2: Why is perpendicular distance important?
A: Only the component of distance perpendicular to the force direction contributes to torque. The maximum torque occurs when force is applied perpendicular to the lever arm.

Q3: What are common units for torque?
A: Newton-meters (N·m) in SI units, pound-feet (lb·ft) or pound-inches (lb·in) in imperial units.

Q4: How does torque relate to power?
A: Power is the rate of doing work, while torque is the rotational force. In engines, power = torque × angular velocity.

Q5: Can torque be negative?
A: Yes, torque can be negative when it acts in the opposite direction of the chosen positive rotation direction.

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