Why is the manometer problem solution calculated incorrectly?

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SUMMARY

The manometer problem solution was calculated incorrectly due to a misunderstanding of the pressure difference notation. The equation used was correct, but the user mistakenly calculated PB - PA instead of the required PA - PB. The correct interpretation of the pressure difference leads to a result of -3.33 kPa, indicating that PA is lower than PB. This highlights the importance of carefully following the problem's requirements regarding pressure notation.

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  • Understanding of fluid mechanics principles
  • Familiarity with manometer equations
  • Knowledge of pressure measurement units (kPa)
  • Ability to interpret problem statements accurately
NEXT STEPS
  • Review fluid mechanics concepts related to pressure differences
  • Study manometer applications in various fluid systems
  • Practice solving similar problems with different configurations
  • Learn about the implications of pressure sign conventions in fluid dynamics
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Students studying fluid mechanics, engineers working with fluid systems, and anyone involved in pressure measurement and analysis.

aaronfue
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Homework Statement



Two pipes are connected by a manometer shown in the figure.

Homework Equations



FR = [itex]\gamma[/itex]*hc*A

yR = yc + [itex]\frac{I_xc}{y_c*A}[/itex]

The Attempt at a Solution



PB - PA = [itex]\gamma[/itex]water*1.1m - [itex]\gamma[/itex]Fluid*0.6m + [itex]\gamma[/itex]water*0.8m = 3.33 kPa

I checked my answer and it was all okay except the answer was supposed to be -3.33 kPa. Can someone brief me on why that is?
 

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The problem asked for PA-PB, and you calculated PB-PA.
 
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