How Does Increasing the Diameter of a Manometer Affect Liquid Levels?

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SUMMARY

Increasing the diameter of a manometer does not affect the individual heights of the liquid or the height difference between them. This conclusion is based on the principle that pressure is defined as pressure = density × gravity × height, where pressure, density, and gravity remain constant. Therefore, the individual water levels remain unchanged despite the increase in diameter, as the cross-sectional areas cancel out during the derivation of the equation.

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  • Knowledge of manometer function and design
  • Familiarity with pressure equations in physics
  • Basic algebra for manipulating equations
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  • Study the principles of hydrostatics in fluid mechanics
  • Learn about different types of manometers and their applications
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Students studying fluid mechanics, engineers working with pressure measurement systems, and anyone interested in the principles of manometry and fluid behavior.

greenfloss
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Homework Statement



If the diameter of a manometer is increased, what effect will it have on height difference and individual heights of a liquid?
 
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Please attempt this yourself.

I will just say this. What is the definition of pressure?
 
I have attempted it myself. It was in a quiz in school! I want to know if my answer is right.

I stated that there was no change in the individual heights or the difference in heights since pressure= density*gravity*height and since pressure, density and gravity were constant, so was height. But I don't know whether saying that the individual water levels would not change was right.

Correct?
 
During the derivation of the equation the cross -sectional areas cancel out and so yes, you are correct.

When I say attempt it yourself, I mean show your working on the forums. How do we know what you've done at school?
 
I'm awfully sorry about that. Can I just check one thing: so you're saying that despite there being a certain amount of water, when the pressure diameter is increased, the water levels don't fluctuate at all?

I know their difference will remain at X. But will their individual water levels change.
 

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