Determine the pressure point in a liquid container within a pool. The height of the liquid column is 9 m, The density of the liquid is 997 kg/m^3, and gravity is 9.8 m/s^2.

Respuesta :

Absolute pressure: [tex]1.89\cdot 10^5 Pa[/tex]

Explanation:

The total pressure at a certain depth of a liquid is given by

[tex]p=p_0 + \rho g h[/tex]

where

[tex]p_0 = 1.01\cdot 10^5 Pa[/tex] is the atmospheric pressure

[tex]\rho[/tex] is the density of the liquid

g is the acceleration of gravity

h is the depth of the liquid

For the liquid in this problem, we have

[tex]\rho=997 kg/m^3[/tex] is the density

[tex]g=9.8 m/s^2[/tex]

h = 9 m is the column of liquid

Substituting, we find

[tex]p=1.01\cdot 10^5 + (997)(9.8)(9)=1.89\cdot 10^5 Pa[/tex]

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