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Calculate Linear Force From Torque

Linear Force Formula:

\[ F = \frac{T}{r} \]

Nm
m

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1. What is Linear Force From Torque?

Linear force from torque calculation determines the force applied at a distance from a pivot point. This relationship is fundamental in mechanics and engineering applications involving rotational systems.

2. How Does the Calculator Work?

The calculator uses the linear force formula:

\[ F = \frac{T}{r} \]

Where:

Explanation: The formula shows that force is inversely proportional to the radius - the same torque produces less force at a greater distance from the pivot point.

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for designing mechanical systems, determining load capacities, analyzing structural integrity, and optimizing mechanical advantage in various engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Use Newton-meters (Nm) for torque and meters (m) for radius to get force in Newtons (N). Consistent units are essential for accurate results.

Q2: Can this formula be used for any rotational system?
A: Yes, this fundamental relationship applies to all rotational systems where force is applied perpendicular to the radius at the point of application.

Q3: What if the force is not applied perpendicular to the radius?
A: For non-perpendicular forces, only the perpendicular component contributes to torque. The calculation would require adjusting for the angle of application.

Q4: How does radius affect the force produced?
A: For a constant torque, increasing the radius decreases the linear force proportionally, and vice versa.

Q5: What are some practical applications of this calculation?
A: This calculation is used in designing levers, gears, pulleys, wrenches, and any mechanical system where rotational motion is converted to linear force.

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