1. What is the Torque to Linear Force Equation?

The torque to linear force equation (F = T / r) calculates the linear force generated by a torque applied at a certain radius. This fundamental mechanical relationship is essential in engineering applications involving rotational to linear motion conversion.

2. How Does the Calculator Work?

The calculator uses the torque to force equation:

Where:

• \( F \) — Linear force (N)
• \( T \) — Torque (Nm)
• \( r \) — Radius (m)

Explanation: The equation shows that linear force is directly proportional to torque and inversely proportional to the radius at which the torque is applied.

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for mechanical design, structural analysis, and ensuring proper functioning of mechanical systems that convert rotational motion to linear force.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and radius in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is torque?
A: Torque is a measure of the rotational force applied to an object, calculated as force multiplied by the distance from the pivot point.

Q2: Why does radius affect the linear force?
A: The same torque applied at a larger radius produces less linear force because the force is distributed over a greater distance.

Q3: What are common applications of this calculation?
A: This calculation is used in gear systems, lever mechanisms, pulley systems, and any application where rotational motion is converted to linear force.

Q4: Can this formula be used for any unit system?
A: Yes, but units must be consistent. If torque is in foot-pounds and radius in feet, force will be in pounds.

Q5: What if the radius is zero?
A: The radius cannot be zero as division by zero is undefined. In practical terms, there must be some distance from the pivot point for torque to produce linear force.