# What is the dimensional formula of Gravitational Field Intensity or Gravitational Strength?

Posted in Dimensional Formulae | Email This Post |Gravitational Field Intensity or Gravitational Strength at a point is defined as the gravitational force exerted on a unit mass placed at that point.

Mathematically,

Gravitational Field Intensity or Gravitational Strength = GM /r^{2}

where G = Gravitational Constant, M = mass and r = distance from the centre of the body to the point.

Dimensional Formula of Universal Constant of Gravitation = M^{-1}L^{3}T^{-2}

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

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

Substituting in the above equation we get,

**Dimensional Formula of Gravitational Field Intensity or Gravitational Strength = M ^{0}L^{1}T^{-2}**

SI unit of Gravitational Field Intensity or Gravitational Strength is N kg^{-1} or it can also be written as m s^{-1}

Note: Gravitational Field Intensity is often referred as Gravitational Field.