Dimensions of Pressure

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.

⇒ Check Other Dimensional Formulas:

• Dimensions of Relative Density
• Dimensions of Time Period
• Dimensions of Pressure Gradient
• Dimensions of Impedance
• Dimensions of Rotational Kinetic Energy