# Dimensional formula of G | Dimensional formula of Universal Gravitational constant

*Here, we will find out the dimensional formula of the Universal Gravitational constant* or G*.*

The formula of the Gravitational Force between two masses M and m is **F = GMm/d ^{2}**, where d is the distance between M and m.

From, this equation we get the formula of the *Universal Gravitational constant* or G, as follows.

G = F d^{2} / Mm………………. (1)

The dimensional formula of force = [MLT^{–2}] [see here how to find the dimensional formula of force ]

The dimension of distance = [L]

And, the dimension of mass = [M]

**Hence, the Dimensional formula of the Universal Gravitational constant or G **

=

**The dimensional formula of force x (The dimension of distance)**

^{2}/ (the dimension of mass)^{2}**= [MLT**/

^{–2}][L^{2}]**[M**

^{2}]=

**[M**

^{-1}L^{3}T^{–2}] **Dimensional formula of G** = **[M ^{-1}L^{3}T^{–2}]**

or

**Dimensional formula of the**=

*Universal Gravitational constant***[M**

^{-1}L^{3}T^{–2}]