Home Back

Torque To Force Calculator

Torque to Force Formula:

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

Nm
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Torque to Force Formula?

The torque to force formula (F = T / r) calculates the linear force generated at a certain distance from a pivot point when torque is applied. This relationship is fundamental in mechanics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the torque to force formula:

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

Where:

Explanation: This formula shows the inverse relationship between force and radius - the same torque produces greater force when applied closer to the pivot point.

3. Importance of Force Calculation

Details: Calculating force from torque is essential in mechanical design, automotive engineering, robotics, and many other fields where rotational motion is converted to linear force or vice versa.

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 units should I use for this calculation?
A: For consistent results, use Newton-meters for torque and meters for radius, which will give force in Newtons.

Q2: Can I use different units?
A: Yes, but you must ensure unit consistency. For example, using pound-feet for torque and feet for radius will give force in pounds.

Q3: Does this formula work for any pivot point?
A: Yes, the formula applies to any rotational system where force is applied perpendicular to the radius at the point of application.

Q4: What if the force isn't applied perpendicularly?
A: For non-perpendicular forces, you need to use the component of force that is perpendicular to the radius, which would be F × sin(θ) where θ is the angle between force and radius.

Q5: How is this different from calculating torque from force?
A: This is the inverse operation. While torque = force × radius, this calculator solves for force when torque and radius are known.

Torque To Force Calculator© - All Rights Reserved 2025