Dimensional Formula of Pressure
The dimensional formula of pressure is given by,
[M1 L-1 T-2]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Pressure (P) = Force × Area-1 . . . . . (1)
Since, Force = Mass × Acceleration
And, acceleration = velocity × time-1 = [L T-1] [T]-1 = [L T-2]
∴ The dimensional formula of force = [M] × [L T-2] = Force = M1 L1 T-2 . . . . (2)
The dimensional formula of area = M0 L2 T0 . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Pressure (P) = Force × Area-1
Or, P = [M1 L1 T-2] × [L2]-1 = M1 L-1 T -2.
Therefore, the pressure is dimensionally represented as M1 L-1 T -2.