Solve Mulitfluid Manometer Homework: Find Gage Pressure at Point A

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SUMMARY

The discussion focuses on calculating the gage pressure at point A in a manometer system using the equation P1 - P2 = (g/gc)(densitya(h1 - h4) + densityb(h3 - h2)). The user attempts to derive the pressure at point A (PA) by incorporating atmospheric pressure (Patm) and the densities of the manometer fluids (ρ1 and ρ2) along with the height differences (h1, h2, h3, h4). The user expresses uncertainty regarding the correct application of pressure addition and subtraction based on fluid density variations.

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Homework Statement


The manometer shown below measures the pressure of the water in the tank. Using variables for
the densities (no values given), find the gage pressure at point A. Use the symbols ρw, ρ1, and ρ2
for the water and the two manometer fluids.
A picture is attached

Homework Equations


P1-P2=(g/gc)(densitya(h1-h4)+densityb(h3-h2))


The Attempt at a Solution


PA=Patm+ρ2(g/gc)(h3+h2)+ρ1(g/gc)(h2)-ρw(g/gc)(h1)
Im not sure if this is correct or not. Because 1 & 2 have increased pressure going down the tube they were added to Patm and the water had less pressure so it was subtracted. I am not sure if this is right so any input would be great.
 
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here is the manometer picture
 

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