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Problem 3.30 - Problem 3.30 Given[Difficulty 2 Reservoir...

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Problem 3.30 [Difficulty: 2] Given: Reservoir manometer with dimensions shown. The manometer fluid specific gravity is given. D 5 8 in = d 3 16 in = SG oil 0.827 = Find: The required distance between vertical marks on the scale corresponding to Δ p of 1 in water. Solution: We will apply the hydrostatics equations to this system. Governing Equations: dp dz ρ g = (Hydrostatic Pressure - z is positive upwards) ρ SG ρ water = (Definition of Specific Gravity) Assumptions: (1) Static liquid (2) Incompressible liquid h x Integrating the hydrostatic pressure equation we get: Δ p ρ g Δ z = Beginning at the free surface of the tank, and accounting for the changes in pressure with elevation: p atm Δ p + ρ oil g x h + ( )
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