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Torque to Force Formula:
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The torque to force conversion calculates the linear force generated at a specific distance from a rotational axis. This is fundamental in mechanical engineering and physics for understanding how rotational motion translates to linear force.
The calculator uses the torque to force formula:
Where:
Explanation: This formula shows the inverse relationship between force and radius - for a given torque, a smaller radius produces greater force.
Details: Accurate force calculation is essential for designing mechanical systems, determining load capacities, analyzing structural integrity, and optimizing mechanical advantage in various applications from simple levers to complex machinery.
Tips: Enter torque in Newton-meters and radius in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the difference between torque and force?
A: Torque is a rotational force (moment), measured in Newton-meters, while force is a linear push or pull, measured in Newtons.
Q2: Can this formula be used for any unit system?
A: Yes, but units must be consistent. If torque is in lb-ft and radius in feet, force will be in pounds.
Q3: Why does force increase as radius decreases?
A: This demonstrates the principle of mechanical advantage - applying the same torque over a shorter distance requires more force to achieve the same rotational effect.
Q4: What are practical applications of this calculation?
A: Used in designing wrenches, gear systems, robotic arms, automotive systems, and any application where rotational motion converts to linear force.
Q5: How does this relate to angular acceleration?
A: Through Newton's second law for rotation (τ = Iα), where torque relates to moment of inertia and angular acceleration, which can then be connected to linear acceleration through the radius.