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Engineering Toolbox Torque Calculator

Torque Equation:

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

N
m
degrees

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. It is calculated as the product of the force applied, the distance from the pivot point (radius), and the sine of the angle between the force vector and the lever arm.

2. How Does the Torque Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: The equation calculates the rotational force produced when a force is applied at a certain distance from a pivot point and at a specific angle.

3. Importance of Torque Calculation

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

4. Using the Calculator

Tips: Enter force in Newtons, radius in meters, and angle in degrees (0-180). All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum torque possible?
A: Maximum torque occurs when the angle is 90 degrees (sin(90°) = 1), where T = F × r.

Q2: What happens when the angle is 0 degrees?
A: When the angle is 0 degrees, sin(0°) = 0, so the torque is zero regardless of the force or radius.

Q3: Why is torque measured in Newton-meters?
A: Newton-meters represent the product of force (Newtons) and distance (meters), which is the standard SI unit for torque.

Q4: How does torque differ from work?
A: While both use the same units (Nm), torque is a rotational force while work is energy transferred when a force moves an object a certain distance.

Q5: 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.

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