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Calculate Linear Force From Motor Torque

Linear Force Formula:

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

Nm
m

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1. What is Linear Force From Torque?

The linear force calculation converts rotational torque into equivalent linear force using the relationship F = T/r, where F is force in Newtons, T is torque in Newton-meters, and r is the radius in meters.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: This formula calculates the equivalent linear force produced by a given torque acting at a specific radius from the center of rotation.

3. Importance of Force Calculation

Details: Accurate force calculation is essential for mechanical design, motor selection, robotics, and various engineering applications where rotational motion needs to be converted to linear motion.

4. Using the Calculator

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

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).

Q2: Does this formula work for any rotational system?
A: Yes, this fundamental relationship applies to any system where torque is converted to linear force through a lever arm or radius.

Q3: What if I have diameter instead of radius?
A: Remember that radius is half the diameter. Divide the diameter by 2 to get the radius before calculation.

Q4: Can this be used for gear systems?
A: Yes, this formula is fundamental for calculating forces in gear systems and mechanical linkages.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise, assuming ideal conditions without friction or other losses in the system.

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