Answer:
[tex]P=17.01 lbf/in^{2}[/tex]
Explanation:
the diagram is depict on the attached diagram.
The total pressure is the sum of the pressure in the two liquid and the atmospheric pressure. this can be expressed as
[tex]P=P_{atm} +P_{liquid}.\\[/tex]
the pressure of the liquid is expressed as
[tex]P_{liquid}=P_{water} +P_{oil}\\[/tex]
The pressure of the liquid is express as the product of the density,gravity and height
[tex]P_{water}=phg\\[/tex]
the density of water is 62.2lbm/ft^3 and the density of engine oil is 52.66lbm/ft^3
Hence we can compute the pressure as
[tex]P=14.7 +[(62.2*2) +(52.66*4) ]\frac{32.174}{144*32.174}\\P=14.7 +[(62.2*2) +(52.66*4) *0.0069 \\P=17.01 lbf/in^{2}[/tex]
