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Hooke's Law Calculator

Hooke's Law Calculator is a online tool that provides the missing variable in the Hooke's Law Equation given the other 2 parameters. Simply give the inputs in input field of the calculator and then tap on the calculate button to avail the output.

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

Hooke's Law Calculator: Determining Force in a stretched or compressed spring and need any assistance? Look no further and make use of our handy free to use Hooke's Law Calculator and calulate the spring force quickly. You just need to provide the relevant inputs as per the Hooke's Law and our tool does everything for you. Read on to know about the hooke's law definition, formula, procedure on how to calculate force required to compress a string in the later sections. In addition, you will find examples on calculating the spring force, displacement or spring constant explained clearly with detailed steps.

What is meant by Hooke's Law?

Hooke's Law deals with elasticity of springs mainly. Each spring can be deformed to a certain extent. After the force is removed the spring comes back to its regular position if the elastic limit is not exceeded. According to the Hooke's Law force required to extend or compress a spring by certain distance is directly proportional to that distance. If spring force increases then displacement also increases. If you plot them on a graph you can understand the linear relationship. Linear dependance of displacement on stretching is known as Hooke's Law.

Spring Force Formula | Hooke's Law Formula

As per the Hooke's Law we can write the formula as

F = -kΔx

Where F is the spring force and its units are N

k is the spring constant and its units are N/m

Δx is the displacement

Imagine you pull a string to right and stretch it. Force arises in it and if it elongates in the right it would stretch to infinity. Hence, Force resists the displacement and its direction is opposite to it. Thus you will have minus sign in the equation of spring force.

How to Calculate Spring Force using Hooke's Law?

Follow the guidelines provided below to find out the spring force and other related parameters in the Hooke's Law easily. They are along the lines

  • Firstly, determine the spring constant, displacement of the spring.
  • Then, substitute the known parameters in the formula to calculate spring force i.e.F = -kΔx
  • Simplify the equation further and get the resultant spring force easily.

Example

How much force is needed to pull a spring with a spring constant of 30 N/m a distance of 15 cm?

Solution:

Given that

Spring Constant k = 30 N/m

Displacement = 15 cm

We know the formula to find the Spring Force F = -kΔx

As the displacement is in cm we shall convert it to m to make them all of similar units

Converting 15 cm to m we get distance or displacement Δx = 0.15m

Substituting the known input parameters in the spring force formula we have the equation as follows

F = -30*0.15

F=-4.5N

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Frequently Asked Questions on Hooke's Law Calculator

1. What is Hooke's Law?

Hooke's Law is a principle of physics that states that force needed to extend or compress a spring is directly proportional to that distance.


2. How do you kind k in Hooke's Law?

You can find k(Spring Constant) in Hooke's Law by dividing spring force by displacement.


3.How do you calculate the force required to compress a Spring?

The Formula to find Spring Force is given by F = -kΔx where F is the spring force, k is the spring constant, Δx is the displacement.


4. What is k in Hooke's Law?

k is the spring constant in Hooke's Law.


Hooke's Law Calculator