# What is the Dimensional Formula of Spring Constant?

Posted in Dimensional Formulae | Email This Post |Spring Constant is defined as restoring force per unit displacement. Force is directly proportional to the displacement of the system. It can also be stated as force needed to compress or extend a spring is directly proportional to the displacement of the spring.

Mathematically,

**Spring Constant = Force/Displacement**

Dimensional Formula of Force = M^{1}L^{1}T^{-2}

Dimensional Formula of Displacement = M^{0}L^{1}T^{0}

**So Dimensional Formula of Spring Constant = M ^{1}L^{0}T^{-2}**

**SI unit of Spring Constant is Nm**

^{-1}