Enter the mass, radius, and frequency into the calculator to determine the imbalance force.

Imbalance Force Formula

The following equation is used to calculate the Imbalance Force.

IF = m * R * ( 2*pi*f)^2

  • Where IF is the imbalance force (N)
  • m is the mass (kg)
  • R is the radius (m)
  • f is the frequency (hz)

To calculate the imbalance force, multiply the mass by the radius, then multiply that result by the angular frequency squared.

What is an Imbalance Force?


An imbalance force is the total force acting on an object that causes it to oscillate at a given frequency. The imbalance force depends on the mass, distance from the pivot point, and the angular frequency.

How to Calculate Imbalance Force?

Example Problem:

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

First, determine the mass . In this example, the mass is found to be 12 kg.

Next, determine the distance from the pivot point the force is applied at. For this problem, the distance is found to be 3m.

Next, determine the frequency. In this case, the frequency is measured to be 50hz.

Finally, calculate the Imbalance Force using the formula above:

IF = m * R * ( 2*pi*f)^2

IF = 12 * 3 * ( 2*3.14159*50)^2

IF = 3553051.58 N