Force constant of a spring

Force constant is defined as force per unit displacement

The formula of force constant

Force constant= force/displacement

Dimensional formula is M ¹ T -²

( Because dimensions of force = M¹ L¹ T-²

For displacement = L¹ )

SI unit of force constant is Nm-¹ Force constant mainly means spring constant in physics, which ultimately refers to Hooke's law

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 is proportional to that distance. 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.

Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, a musician plucking a string of a guitar, and the filling of a party balloon. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.

In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length #VishnuPhysics

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