Hooke's Law Calculator

Your details

Choose which quantity you want to calculate. The others become your inputs.
The force applied to the spring (the restoring force magnitude, always positive here).
N
A higher spring constant means a stiffer spring. Typical values range from a few N/m (soft springs) to thousands of N/m (rigid springs).
N/m
How far the spring is stretched or compressed from its natural length (always positive - direction is handled by the sign convention in the formula).
m
If you supply a mass, the calculator also outputs the natural oscillation frequency and period of the spring-mass system. Leave at 0 to skip.
kg
Spring force (F)Medium-stiffness spring
10

The restoring force of the spring (F = k * x)

Spring constant (k)200
Displacement (x)0.05
Elastic potential energy (U)0.25
_forceUnitN
_kUnitN/m
_xUnitm
_energyUnitJ
Force (F)10
Potential Energy (U)0.25

Spring force is 10.0000 N at 0.0500 m displacement.

  • A spring constant of 200.00 N/m stretched or compressed by 0.0500 m produces a restoring force of 10.0000 N.
  • The spring stores 0.2500 J of elastic potential energy at this displacement.
  • Hooke's Law applies only in the elastic region. Beyond the elastic limit the spring deforms permanently and the linear relationship breaks down.

Next stepCheck that your displacement is well within the spring's elastic limit. If you know the spring's elastic limit or yield force, compare it to this result to confirm you are in the safe operating range.

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