Enter the total force and the distance from the rotation point into the calculator to determine the moment of force.

Moment of Force Formula

The following equation is used to calculate the Moment of Force.

MoF = F * L 
  • Where MoF is the moment of force (N*m)
  • F is the total force (N)
  • L is the total length (m)

To calculate a moment of force, multiply the total force by the total length from the axis of rotation at which the force is applied.

What is a Moment of Force?

The moment of force, or torque, refers to the rotational effect produced by a force acting on an object. It is a measure of the tendency of a force to cause an object to rotate around a specific point, known as the axis of rotation.

The moment of force depends on the magnitude of the force, the distance from the axis of rotation, and the angle between the force and the line connecting the axis to the point where the force is applied.

By considering the moment of force, we can analyze and predict the behavior of rotating objects, such as wheels, gears, or entire systems.

How to Calculate Moment of Force?

Example Problem:

The following example outlines the steps and information needed to calculate the Moment of Force.

First, determine the total force. In this example, the total force is found to be 50 N.

Next, determine the total length. For this problem, the total length is found to be 3m.

Finally, calculate the moment of force using the formula above:

MoF = F * L

MoF = 50 * 3

MoF = 150 N-m


What factors can affect the calculation of moment of force?

The calculation of moment of force can be affected by several factors including the magnitude of the force applied, the distance of the force from the axis of rotation, and the angle at which the force is applied relative to the axis. Changes in any of these factors can significantly alter the resulting moment of force.

Can the moment of force be negative?

Yes, the moment of force can be negative. This typically occurs when the direction of the force tends to produce a clockwise rotation around the axis of rotation, depending on the convention used. The sign of the moment of force helps to indicate the direction of rotation it tends to produce.

How does the moment of force relate to the stability of objects?

The moment of force plays a crucial role in determining the stability of objects. For an object to be stable, the sum of the clockwise moments about any point must equal the sum of the counterclockwise moments. This balance of moments ensures that the object remains in equilibrium and does not topple over. Understanding the moment of force is essential in engineering and design to ensure the stability and safety of structures and mechanical systems.