What is Hooke’s Law?

If you want to learn how a spring works while you stretch or pull it, then you need to know about Hooke's Law. It is a simple rule in physics that tells you how a spring can be stretched more as you pull it more, but only up to a certain limit.

Formula: F = k × x

• F = force in Newton
• k = spring constant
• x = stretch or compression in meters

If you know two out of three values, you can easily calculate the third one using our Hooke’s Law Calculator.

How to Use Hooke's Law Calculator?

We designed our calculator to be super easy and convenient for everyone to use. It uses simple math to calculate the missing value. You can calculate force, displacement, and spring constant using this calculator. Follow these simple steps:

1. Select what you want to find: Pick the option from the dropdown button at the first section of the calculator.
2. Enter the known values: Type in the two known values in the relevant section and leave the third one empty.
3. Press "Calculate": You will get your answer instantly.

How Does It Work? The Science Behind The Calculation

Robert Hooke was a scientist from the 1600s who formulated Hooke's Law after discovering the relationship between the spring's stretch and its behaviour. His work helps us precisely measure the relationship between the force, stretch and strength of the spring. Our free and online Hooke’s Law Calculator uses the equation of Hooke's Law along with simple math to calculate values for you.

• MAIN: F = k × x
• K: k = F / x
• X: x = F / k

Choose to Find Force (F)

Suppose a spring has a weight and the stretch is 0.2 meters, the spring constant is 50 N/m, and you need to find the force that is used to pull the spring.

1. Put this in Displacement (m) bar: 0.2
2. Put this in Spring Constant (N/m) bar: 50
3. Step 1: Hooke's Law Calculator: F = -kx
4. Step 2: Where F = force, k = spring constant, x = displacement
5. Step 3: Given: k = 50 N/m, x = 0.2 m
6. Step 4: Force: F = kx = 50 × 0.2 = 10 N

Result: In this case, the force is 10 Newtons. The weight pulling the spring is about 1 kilogram.

Choose to Find Displacement (x)

Assume that 10 N of force is applied and that the spring constant is 50 N/m. Determine the spring's displacement using Hooke's Law.

1. Step 1: Hooke's Law Calculator: F = -kx
2. Step 2: Where F = force, k = spring constant, x = displacement
3. Step 3: Given: F = 10 N, k = 50 N/m
4. Step 4: Displacement: x = F/k = 10 / 50 = 0.2 m

Result: Displacement = 0.2 m

Choose to Find Spring Constant (k)

Let's say a spring is stretched with a force of 10 N, causing a 0.2-meter displacement. Determine the spring constant using Hooke's Law.

1. Step 1: Hooke's Law Calculator: F = -kx
2. Step 2: Where F = force, k = spring constant, x = displacement
3. Step 3: Given: F = 10 N, x = 0.2 m
4. Step 4: Spring constant: k = F/x = 10 / 0.2 = 50 N/m

Result: Spring constant = 50 N/m

FAQs

What can we use this calculator for?

This calculator helps you calculate force, displacement, and spring constant using Hooke's Law.

What units should I use?

You need to put values with consistent units to get an error-free calculation. For force, use Newtons (N); for displacement, use Meters (m); and for Spring constant, use Newton per meter (N/m).

Can I use it for compressed springs, too?

Yes! Hooke’s Law works for both stretching and compressing springs.

Why Use Our Hooke’s Law Calculator?

• Easy to use with no math skills needed
• Perfect for students, teachers, and science enthusiasts.
• Get quick answers for homework or labs.
• Free, online and easy to use on any device.

Don't Just Read About Force — Get To Calculating With Hooke's Law!