Spring Constant Calculator

The volume that defines the stiffness of a spring is known as the spring constant. Each spring has its unusual amount of spring constant.

The International System of Units of spring constant is a newton per meter (N/m).

Newton's third law of motion proves the spring constant. It says that "For all actions, there is an equal and opposing reaction". If the spring is pinched to some extent, a restoring force is produced in it. The law that provides the relationship between restoring force and displacement is Hooke's law. It narrates that "the restoring force of a spring is equivalent to the small displacement product by force". The constant proportionality is known as the spring constant.


Formula of Spring Constant Calculator

From Hooke's law, we get

F = -kx


F = restoring force (where you can calculate simple force by using force calculator)

k = spring constant

x = displacement

The negative sign (-) symbolizes that the restoring force and the displacement confront one another.

For the spring constant, the above expression will be driven as

k = - F/x

If two springs with the same spring constants k1 and k2 are joined in parallel to each other, then the equivalent spring constant is driven by,

k = k1 + k2

and if both springs are connected in series, then the equal spring constant is driven as,

\[k = \mathop {\left( {\frac{1}{{\mathop k\nolimits_1 }} + \frac{1}{{\mathop k\nolimits_2 }}} \right)}\nolimits^{ - 1} \]


To know about dot products, visit our Dot Product Calculator.


For a better understanding, see the example below.

Obtain the spring constant if it necessitates a 9000 N force to drag the spring 30 cm as of the place of equilibrium.

Given data

F = 9000 N
X = 30 cm

To Find

K = ?


To determine the spring constant (k), we can reorder the formula for spring constant as:

k = - F/x

In this case, a 9000 N force is pulling on a spring; it means when pulled force is released by spring, the force remains the same.

But, the direction gets opposite so the new force will be equal to -9000 N.

Moreover, the displacement is 30.0 cm, which is equivalent to 0.30 m.

We are now putting values in the above formula.

K = -9000 / 0.30
K = 30000 N/m

How to use Spring Constant Calculator?

The steps to use the spring constant calculator are as follows:

Step 1: Enter the value of force in the first required input.

Step 2: Enter the value of displacement in the second required input.

Step 2: The calculator will automatically display an answer on the screen.

Calculator use

What is the spring constant of your given data? Find it free by just adding your values to the spring constant calculator. Our algorithm gets the prescribed solution to your problems. To solve complex questions, you can use this calculator at any time.