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Hooke's law calculator

Select what you want to calculate i.e. spring force, spring force constant, and enter the required values. Hit the Calculate button. Hooke’s law calculator will instantly give you the result for the selected value.

Hooke Law

To calculate Hooke Law:

  • N/m
  • m
  • m
  • N

The spring constant calculator offers multiple calculations related to Hooke’s Law including:

  • Force (Fx)
  • Spring force constant (k)
  • Distance from equilibrium (x)
  • Spring equilibrium position (xx)

This tool can be very handy for students and teachers. Students can use the spring force calculator for physics numerical and assignments.

In this space, we will elaborate the Hooke’s Law definition, how to calculate Hooke’s Law without using spring force calculator, how to find the spring constant, and the formula of Hooke’s law.

What is Hooke’s law?

Hooke’s law states that the force need to compress or extend a spring is directly proportional to the distance covered. Constant factor i.e. stiffness is considered during this calculation.

In short Hooke's law can be explained as "F = kx."

Hooke's law formula

The spring force equation can be expressed as:

F = -k x

Where,

F refers to the spring force,

k is the spring force constant, and

x represents the change in spring’s position.

Note: Have you noticed the negative sign (-) in the above equation of Hooke’s Law. The reason is that the force is in the opposite direction of the displacement when the spring returns to its original position.

How to calculate spring force?

Let’s calculate the spring force using Hooke’s Law with an example.

Example:

A spring is stretched 0.8 m while having a stiffness of 150 N/m. Find the spring force?

Step 1: Write down the values.

x = 0.8 m

k = 150 N/m

Step 2: Use the Hooke’s Law equation to find the spring force.

Note: We don’t need the minus sign in this case because we are only looking for the force to pull the spring.

F = k x

F = 150 × 0.8

F = 120 N

You can use the spring velocity calculator to save your time instead of getting involved in these steps. On the other hand, the above method could be helpful if you want to learn how Hooke’s Law works.

FAQs

How to calculate spring constant?

Spring constant can be calculated using Hooke’s Law equation. The equation can be shaped for the value of k.

F = -k × x  -->  k = -F/x 

What are the units of k in Hooke's Law?

k in Hooke’s Law refers to the spring constant. The unit of spring constant k is N/m or kg/s2.

References:

  1. What is Hooke's Law? from phys.org