Hooke's Law Calculator

Calculate force, spring constant, or displacement for an elastic spring.

Spring Parameters

Solve For

Spring Constant (k)

N/m

Displacement (x)

Calculation Results

Enter parameters to calculate result

About this calculator

Quick Reference

FRestoring Force

kSpring Constant (Stiffness)

xDisplacement from Equilibrium

UElastic Potential Energy (½kx²)

Overview

Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance.

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Pro Tips

Fun Facts

"Robert Hooke first stated this law in 1676 as a Latin anagram 'ceiiinosssttuv'."
"Most materials behave according to Hooke's Law for very small deformations."
"The potential energy stored in the spring is U = ½kx²."

Formula: F = k · x