Hooke Law Calculator

Hooke's Law Calculators - Calculate Force, Spring Constant, Distance from Equilibrium or Spring Equilibrium Position in various units.

Features:
- Fast and easy calculation.
- Simple & friendly User Interface.
- Calculate Force, Spring Constant, Distance from Equilibrium or Spring Equilibrium Position.
- Fill in 3 input and leave one blank to calculate the answer.
- Support various units including metric and imperial.
- Result are copy-able to other app.

Hooke's law and spring constant
Hooke's law deals with springs and their main property - the elasticity. Each spring can be deformed (stretched or compressed) to some extent. When the force that causes the deformation disappears, the spring comes back to its initial shape, provided the elastic limit was not exceeded.

Hooke's law is a principle of physics that states that the force (F) needed to extend or compress a spring by some distance X scales linearly with respect to that distance.

Hooke's law states that for an elastic spring the force and displacement are proportional to each other. It means that as the spring force increases, the displacement increases, too. If you graphed this relationship, you would discover that the graph is a straight line. Its inclination depends on the constant of proportionality, called the spring constant. It always has a positive value.
Spring force equation

Spring force equation

F = -K x (X - X0)

where:
K = Spring Constant
F = Force
X = Distance from Equilibrium
X0 = Spring Equilibrium Position

That is: F = kX, where k is a constant factor characteristic of the spring: its stiffness, and X is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram. He published the solution of his anagram in 1678 as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law already in 1660.

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