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Torque To Force Conversion Calculator

Torque to Force Formula:

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

Nm
m

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1. What is Torque to Force Conversion?

Torque to force conversion calculates the linear force generated at a certain distance from a pivot point when torque is applied. This is fundamental in mechanical engineering and physics for understanding rotational systems.

2. How Does the Calculator Work?

The calculator uses the torque to force formula:

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

Where:

Explanation: The formula shows that force is directly proportional to torque and inversely proportional to the radius. A larger radius requires less force to produce the same torque.

3. Importance of Torque to Force Conversion

Details: This conversion is essential for designing mechanical systems, calculating mechanical advantage, determining required motor specifications, and analyzing forces in rotational systems like gears, levers, and pulleys.

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 torque and radius?
A: For consistent results, use Newton-meters (Nm) for torque and meters (m) for radius. The calculator will output force in Newtons (N).

Q2: Can I use different units for input?
A: Yes, but you must convert all values to consistent units before calculation. For example, if using foot-pounds for torque, use feet for radius, and the result will be in pounds of force.

Q3: What is the relationship between torque and force?
A: Torque is the rotational equivalent of force. It represents the tendency of a force to rotate an object about an axis, and is calculated as force multiplied by distance from the pivot point.

Q4: Why does a longer lever require less force?
A: Because torque = force × distance. For a given torque requirement, increasing the distance (lever length) reduces the amount of force needed to achieve that torque.

Q5: Where is this conversion used in real-world applications?
A: This conversion is used in automotive engineering (wheel torque to traction force), mechanical design (gear systems), construction (lever systems), and many other applications involving rotational mechanics.

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