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Equation For Moment Of Force

Moment of Force Formula:

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

Newtons (N)
meters (m)
degrees

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1. What is Moment of Force?

Definition: The moment of force (or torque) is a measure of the tendency of a force to rotate an object about an axis or pivot.

Purpose: It helps engineers and physicists analyze rotational systems and design mechanical components.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The torque is maximum when the force is perpendicular to the lever arm (θ = 90°).

3. Importance of Torque Calculation

Details: Proper torque calculation is essential for designing rotating machinery, analyzing structural stability, and understanding rotational motion.

4. Using the Calculator

Tips: Enter the force magnitude, distance from pivot point, and angle between force and lever arm. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 0°?
A: When force is parallel to the lever arm (θ = 0°), sin(0°) = 0, so no torque is produced.

Q2: What's the maximum torque possible?
A: Maximum torque occurs at θ = 90°, where sin(90°) = 1, making τ = F × r.

Q3: How does distance affect torque?
A: Torque increases linearly with distance - doubling the lever arm doubles the torque.

Q4: What units should I use?
A: Use Newtons for force, meters for distance, and degrees for angle to get N m torque.

Q5: Can torque be negative?
A: In this calculator, torque is always positive. In physics, negative torque indicates clockwise rotation.

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