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Hooke's Law

This template explores Hooke's Law both in general terms, and in the context of spring constants, it's most common usage.

Calculation

Hooke's law can be rearranged to solve for each variable. Below is a calculation to solve for the force. Remember to account for the direction of your deflection and units.
Go ahead and duplicate this page to change it up and solve for k or s!

Inputs



Spring constant, k, N/m
:1



Deflection
:3m


Output



Force
:3N


Explanation

Hooke's law states that the strain/deformation of an elastic object or material is proportional to the stress applied to it.
It can be expressed mathematically as:

σ=Eε\sigma=E\varepsilon
Where:

σ=stress (Pa)E=Youngs Modulus (Pa)σ=stress (Pa)\sigma = stress \space (Pa) \\ E = Young's\space Modulus \space (Pa) \\ \sigma = stress \space (Pa)

🕵️‍♀️ Who was Robert Hooke?


In this context, Hooke's Law is expressed as:

F=ksF = ks
Where:

F=Force (N)k=Spring constant (Nm)s=Deflection (m)F = Force \space (N) \\ k = Spring \space constant \space (\frac {N}{m}) \\ s = Deflection\space (m)





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