Fluid MechanicsHard
Question
The vessel shown in Figure has two sections of area of cross-section A1 and A2. A liquid of density r fills both the sections, up to height h in each. Neglecting atomospheric pressure,
Options
A.the pressure at the base of the vessel is 2 h ρ g
B.the weight of the liquid in vessel in equal to 2 h ρ g
C.the force exerted by the liquid on the base of vessel is 2 h ρ g A2
D.the walls of the vessel at the level X exert a force h ρ g (A2 − A1) downwards on the liquid.
Solution
P = ρ(2h)g
= ρ (2h) g
Fbase = 2h ρ g A2
Fwall = h ρ g [A2 − A1], at the level x
= ρ (2h) gFbase = 2h ρ g A2
Fwall = h ρ g [A2 − A1], at the level x
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