Problem 3.24 - Problem 3.24 Given Data on manometer...

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Problem 3.24 [Difficulty: 2] c d e Given: Data on manometer Find: Gage pressure at point a Assumption: Water, liquids A and B are static and incompressible Solution: Basic equation dp dy ρ g = or, for constant ρ Δ p ρ g Δ h = where Δ h is height difference Starting at point a p 1 p a ρ H2O g h 1 = where h 1 0.125 m 0.25 m + = h 1 0.375m = Next, in liquid A p 2 p 1 SG A ρ H2O g h 2 + = where h 2 0.25 m = Finally, in liquid B p atm p 2 SG B ρ H2O g h 3 = where h 3 0.9 m 0.4 m = h 3 0.5m = Combining the three equations p atm p 1 SG A ρ H2O g h 2 + () SG B ρ H2O g h 3 = p a
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