Enter the displacement of the spring and the spring constant into the calculator to determine the restoring force.

Restoring Force Formula

The following equation is used to calculate the Restoring Force.

Fr = k*d

  • Where Fr is the restoring force (N)
  • k is the spring constant (N/m)
  • d is the displacement (m)

To calculate a restoring force, multiply the spring constant by its displacement.

What is a Restoring Force?


A restoring force is a force that acts on an object to restore the object to its equilibrium position when it is displaced. In physics, “restoring force” can refer to any force that restores equilibrium to an object.

Restoring forces are a particular class of conservative forces. They are always directed towards the equilibrium point, and their magnitude increases as you move further away from the equilibrium position.

When you release a spring, and it compresses or expands away from its rest length, it experiences a restoring force that pulls it back toward its rest length. In the case of an object moving on a frictionless surface in response to gravity, only weight constitutes the restoring force.

How to Calculate Restoring Force?

Example Problem:

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

First, determine the total displacement. In this example, the displacement of the spring is 2m.

Next, determine the spring constant. This spring constant is measured to be 325 N/m.

Finally, calculate the restoring force using the formula above:

Fr = k*d

Fr = 325*2

Fr = 650 N