Hooke's Law Calculator

Enter value and click on calculate. Result will be displayed.
Select calculator :
 
I have k with :
 
Spring Force Constant (K) :
N/m
Distance from Equilibrium (x1):
m
Spring Equilibrium Position (xo):
m
Result:

What is Hooke's Law?
Hooke's Law describes the relationship between the force applied to a spring and the amount it stretches or compresses. It’s a fundamental principle of physics and engineering for understanding elastic materials. The equation is:

F = kx

where:

  • F = Force applied (in newtons, N)
  • k = Spring constant (in N/m), a measure of the spring’s stiffness
  • x = Displacement (in meters), how much the spring stretches or compresses from its rest position

Why use a Hooke's Law Calculator?

  • Engineering and design: It’s essential for designing systems with springs, like car suspensions or mechanical devices.
  • Material testing: It helps determine how elastic materials respond to different forces.
  • Physics problems: It simplifies calculations when studying elasticity and potential energy in springs.

How does a Hooke's Law Calculator work?
A Hooke's Law calculator automates the F = kx equation. You input two known values, and the calculator finds the third:

  • Given force and displacement, it calculates the spring constant k.
  • Given force and spring constant, it finds the displacement x.
  • Given spring constant and displacement, it finds the force F.

When to use a Hooke's Law Calculator:

  • Designing spring-based systems: Like shock absorbers, trampolines, or retractable cords.
  • Testing material elasticity: Measuring how stiff or flexible different materials are.
  • Physics experiments: Modeling oscillations, energy storage, or mechanical equilibrium.