Home Back

Torque To Linear Force Calculator

Torque to Linear Force Formula:

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

Nm
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Torque to Linear Force Conversion?

The torque to linear force conversion calculates the linear force generated at a certain distance from a rotational axis when torque is applied. This is fundamental in mechanical systems where rotational motion is converted to linear motion.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for designing mechanical systems, determining load capacities, ensuring structural integrity, and optimizing mechanical advantage in various applications.

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 is the relationship between torque and force?
A: Torque is the rotational equivalent of linear force. It represents the tendency of a force to rotate an object about an axis.

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 typical 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 motion.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions without friction, deformation, or other energy losses. Real-world applications may require additional factors.

Q5: Can this be used for angular force calculations?
A: No, this formula specifically calculates linear force. For angular force or moment calculations, different formulas are required.

Torque To Linear Force Calculator© - All Rights Reserved 2025