Write The Dimensional Formula of Pressure

The dimensional formula of pressure is M¹ L^-1 T^-2.

Derivation of the formula:

Pressure is equal to the force per unit area.

P = F/A 

Force is equal to acceleration in Mass

Acceleration is equal to Velocity per unit of Time.

i.e., =  [L T^-1] [T^-1] 

= [L T^-2].

So the dimensions for force is  [M] [L T^-2] 

F = M¹L¹ T^-2.

Where M = Mass, L = Length, and T = Time.

The dimensional formula for area is M⁰ L² T⁰.

By substituting the dimensions of force and area in Pressure formula we get: 

P =  [M¹ L¹ T^-2] x [M⁰ L² T⁰]^-1

P =  [M¹ L¹ T^-2] x [L² ]^-1

P =  M¹ L^-1 T^-2.

Hence, the dimensions of pressure is M¹ L^-1 T^-2.