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Pressure in a Fluid

 

 

Assumptions

 

(1) Non turbulent flow

(2) Incompressible fluid

 

Definition of Terms Used

 

r = density P = pressure m = mass
A = cross-sectional area g = acceleration of gravity h = height of liquid aboce a reference

 

Starting with the definition of pressure

P = F/A

and the relationship between force and acceleration

P = F/A =mg/A  = (rAh)g/A          note that the term in parentheses is equivalent to m

P = rgh              

Which states that the pressure at a depth h in a liquid with given density is equal to the product of density, g, and h.

It is independent of the shape or orientation of the liquid.