How to Find h in Hydrostatics?

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Homework Help Overview

The discussion revolves around a hydrostatics problem involving the calculation of height (h) in a system with multiple liquids. The original poster has completed the first four parts of the problem and is now focused on determining h using specific parameters related to the system.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion regarding the use of "heights" instead of "depths" in the problem, which they believe is affecting their understanding. They seek hints to progress further. Other participants discuss the relationship between the heights of mercury in the tubes and the liquid density, attempting to formulate an equation to express this relationship.

Discussion Status

Participants are actively engaging with the problem, with some providing equations that relate the different heights and pressures in the system. There is a focus on clarifying the relationships between the variables involved, but no consensus has been reached on the correct approach or solution yet.

Contextual Notes

The problem involves multiple liquids and requires understanding of hydrostatic principles. The original poster has indicated that they are unsure about the implications of the given heights and how to utilize them effectively in their calculations.

Saladsamurai
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Homework Statement



So this is a five part problem. I have already done the first 4 parts that involved the mess of different liquids to the left in the diagram.

I am only concerned with finding h now, which I believe does not even require me to look at the left hand side of the diagram.

I should be able to find it using only H1, H2, (SG)Hg, gammaL and patm

I also labeled a point a because I believe it will be of use to me.

Picture1-33.png

Homework Equations



The hydrostatic relation [itex]p=p_o+\rho g y=p_o+\gamma y[/itex]Can someone give me a hint? I have done tons of these before, but I am stumped for some reason on this one :redface:

What is confusing is that i am given "heights" and not "depths." Not sure why that is effing me up so badly.
 
Last edited:
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Hg level in left tube = H1 - h
Hg level in right tube = H2
Find the excess mercury level in the right hand tube.
Excess pressure due to this level must be balanced by the excess pressure due to h level of liquid of density of γL.
 
H2-(H1-h)γHg=hγL

That look about right rl.bhat ?
 
Saladsamurai said:
H2-(H1-h)γHg=hγL

That look about right rl.bhat ?

It should be [H2-(H1-h)]γHg=hγL
 

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