Question #269090

Part 1. Water in the reservoir is used to control the water pressure in the pipe at A. If h = 200 mm, determine this pressure when the mercury is at the elevation shown. Take pHg = 13 550 kg/m3. Neglect the diameter of the pipe.


Part 2. The two tanks A and B are connected using a manometer. If waste oil is poured into tank A to a depth of h = 0.6 m, determine the pressure of the entrapped air in tank B. Air is also trapped in line CD as shown. Take po = 900 kg/m3 pW = 1000 kg/m3.



1
Expert's answer
2021-11-21T17:27:37-0500

1)

Referring to Fig. A with h = 0.2 m, the manometer rule gives

PA+ρwghABρHgghBCρwg(hCD+hDE)=PE,P_{A} + \rho_ {w}gh_{AB} – \rho_{ Hg}gh_{BC} – \rho _{w}g(h_{CD}+h_{DE})=P_E,

PA=18.2 kPa.P_A = 18.2~\text {kPa}.

2)

Referring to Fig. B, the manometer rule gives

PAρoghAE+ρwghCE+ρwghBD=PB,P_{A} – \rho _{o}gh_{AE} + \rho _{w}gh_{CE} + \rho _{w}gh_{BD} = P_{B},

PB=20.8 kPa.P_B=20.8~\text{kPa}.


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