Torque to Force Formula:
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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.
The calculator uses the torque to force formula:
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.
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.
Tips: Enter torque in Newton-meters and radius in meters. Both values must be positive numbers greater than zero for accurate calculation.
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.