# 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:

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
*(x*_{o})

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 a *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

**(x**i-e spring displacement.

_{o}-x)**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

**Find the spring force?**

*150 N/m.***Step 1: **Write down the values.

*∆x = 0.8 m*

*k = 150 N/m*

**Step 2: **Use 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

**is**

*k***or**

*N/m*

*kg/s*^{2}.### References:

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