Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

The Hooke's Law Calculator is a web-based tool that calculates the missing variable in the Hooke's Law Equation given the other two factors. Simply enter your data in the calculator's input area, then press the calculate button to get the result.

Spring displacement (Δx):
Spring force constant (k):
Force (F):

What is Hooke's Law in Simple Terms?

Hooke's Law is primarily concerned with the elasticity of springs. To a certain extent, each spring can be distorted. If the elastic limit is not exceeded, the spring returns to its original position after the force is released.

The force required to extend or compress a spring by a given distance is directly proportional to that distance, according to Hooke's Law. When the spring force increases, the displacement increases as well. You can see the linear relationship if you plot them on a graph. Hooke's Law is the linear dependence of displacement on stretching.

Hooke's Law Formula | Spring Force Formula

We may write the formula as follows using Hooke's Law: F = -kΔx

  • Where, F = spring force and its units are N
  • k = spring constant and its units are N/m
  • Δx = displacement

Consider pulling a string to the right and stretching it. It generates force, and if it elongates in the right direction, it will stretch to infinity. As a result, Force opposes displacement and moves in the opposite direction. As a result, the spring force equation will have a minus sign.

How to Use Hooke's Law to Calculate Spring Force?

Follow the steps described below to quickly determine the spring force and other associated parameters in Hooke's Law. They are all in the same line.

  • Step 1: Determine the spring constant and spring displacement first.
  • Step 2: Then, in the formula to compute spring force, F = -kΔx, substitute the known parameters.
  • Step 3: If you simplify the equation, even more, you can easily calculate the resultant spring force.

For more concepts check out to get quick answers by using this free tool.

How to Use the HookeΓÇÖs Law Calculator?

The following is the procedure on how to use the Hooke's law calculator

  • Step 1: In the appropriate input fields, enter the spring force constant, distance from equilibrium, spring equilibrium position, and x for the unknown.
  • Step 2: To acquire the result, click the "Calculate the Unknown" button.
  • Step 3: Finally, the output field will show the value of x.

Hooke's Law Examples

Question 1: To pull a spring with a spring constant of 50 N/m at a distance of 20 cm, how much effort is required?


Given: Spring Constant k = 50 N/m

Displacement = 20 cm

Spring Force F = -kΔx

Since the displacement is in cm, we'll convert it to m so that they're all the same size.

Converting 20 cm to m we get distance or displacement Δx = 0.20m

The equation is as follows when the known input parameters are substituted in the spring force formula.

F = -50 x 0.20

F= -10 N

FAQs on Hooke's Law

1. How is Hooke's Law calculated?

Equation of Hooke's Law is given by the formula Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement or distance the spring is being stretched.

2. What does the symbol F =- kx mean?

Hooke's law asserts that the applied force F equals the displacement or change in length x times a constant k, or F = kx. The value of k is determined not only by the type of elastic material but also by its dimensions and shape.

3. Why is the K negative in Hooke's law?

The negative sign on the spring's force in Hooke's law indicates that the spring's force opposes the spring's displacement.

4. How do you find k of a spring?

The spring constant is calculated using the formula k= -F/x, where k is the spring constant. The force is F, and the change in spring length is x.