Finding Gauge Pressure in this Manometer

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Homework Help Overview

The discussion revolves around finding the gauge pressure at a specific point in a manometer system, which involves understanding the relationships between different pressures in a fluid system. The subject area includes fluid mechanics and hydrostatics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the formula for gauge pressure and express uncertainty about identifying absolute pressure in the context of the problem. There are attempts to calculate pressures based on fluid densities and heights, while some participants question the necessity of knowing the tank pressure first. Others explore the concept of pressure differences between various points in the system.

Discussion Status

The discussion is ongoing, with participants providing insights and asking clarifying questions. Some guidance has been offered regarding pressure differences and the nature of absolute versus gauge pressure, but no consensus has been reached on a specific method to solve the problem.

Contextual Notes

Participants are navigating the complexities of fluid pressure in a manometer, including the implications of varying fluid densities and the effects of atmospheric pressure. There is an emphasis on understanding pressure differences without providing a step-by-step solution.

  • #31
In addition to Post #30 ...

atpeef said:
##P_{3} = \left( 800 \ \frac{kg}{m^3} + 9.8 \ \frac{m}{s^2} + 0.15 \ m \right) + P_{4}##

So, the pressure difference between point 3 and point 4 is:

##P_{3} - P_{4} = \left( 800 \ \frac{kg}{m^3} + 9.8 \ \frac{m}{s^2} + 0.15 \ m \right) = 1,176 \ Pa##

Is this correct?
The final value is correct but there are some errors in what you have typed. You have typed additions (##+##) where you should have multiplications (##\times##).
 
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  • #32
atpeef said:
I don't know. Please explain.
If you would imaginarily remove the pipe and tank and liquid above cross-section 4, how the remaining liquid columns would naturally move to find a new balance?
How much effort would be needed to avoid that movement?
 

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