Manometer -- determine height from relative pressure

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SUMMARY

The correct calculation for determining height from relative pressure using a manometer yields a result of 5.6 meters. The formula used is PM abs = Patm + PM, which indicates that the absolute pressure is the sum of atmospheric pressure and gauge pressure. The initial confusion arose from the incorrect application of the formula PM gauge = Patm - PM abs. This highlights the importance of correctly identifying the type of pressure being measured.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with pressure measurement concepts
  • Knowledge of manometer types and their applications
  • Basic algebra for manipulating pressure equations
NEXT STEPS
  • Study the principles of hydrostatic pressure in fluids
  • Learn about different types of manometers and their uses
  • Explore the derivation of pressure equations in fluid mechanics
  • Investigate the effects of atmospheric pressure variations on measurements
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Students and professionals in engineering, physics, and any field requiring precise pressure measurements and fluid dynamics understanding.

daphnelee-mh
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Homework Statement
A Burdon gauge is mounted on the top of the vessel at point M . The relative pressure at M is -980Pa, determine h1 if H=1.5m, h2=0.2m
Relevant Equations
Pm=Pa- Pmabs
The correct answer is 5.6m, not sure where I made the mistake.
077D3BF0-F540-46C9-897C-3D3512AD5509.jpeg
 
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##P_{M gauge}=P_{atm}-P_{M abs}##?
Doesn't look right to me.
 
I get ##P_{Mabs}=p_{atm}+P_M##
 

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