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Equation Linking Moment Force And Distance

Torque Formula:

\[ \tau = F \times d \]

N
m
N m

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1. What is Torque?

Definition: Torque (τ) is a measure of the rotational force applied to an object, calculated as the product of force and the perpendicular distance from the axis of rotation.

Purpose: This calculation is essential in mechanical engineering, physics, and any application involving rotational motion or leverage.

2. How Does the Torque Equation Work?

The calculator uses the formula:

\[ \tau = F \times d \]

Where:

Explanation: Torque increases with either greater force or greater distance from the pivot point.

3. Importance of Torque Calculation

Details: Proper torque calculation ensures mechanical systems operate efficiently, prevents overloading, and helps design appropriate mechanical advantage.

4. Using the Calculator

Tips: Enter the force in Newtons and the perpendicular distance in meters. Both values must be positive numbers.

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).

Q2: Why is distance important in torque?
A: The same force applied farther from the pivot creates greater rotational effect (torque).

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

Q4: How does angle affect torque?
A: Only the perpendicular component of force creates torque. The formula becomes τ = F × d × sin(θ) for angled forces.

Q5: Where is torque calculation used?
A: In designing engines, gears, levers, bolts, and any rotating mechanical system.

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