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/d², 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 d² / 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][L²]/ [M²]
= [M^-1L³T^–2]

Dimensional formula of G = [M^-1L³T^–2]
or
Dimensional formula of the Universal Gravitational constant = [M^-1L³T^–2]