What is the effect of applied pressure on a partially filled U-shaped tube?

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SUMMARY

The discussion centers on the effects of applied gauge pressure on a U-shaped tube partially filled with water. When a gauge pressure of 1500 mmHg is applied to one end of the tube, the difference in water column height on each side can be calculated using hydrostatic principles. Additionally, the function of this system differs from that of a closed-ended manometer, as the latter measures absolute pressure rather than the pressure difference created by the applied gauge pressure. A plot of applied gauge pressure versus fluid height difference is also suggested for further analysis.

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  • Familiarity with gauge pressure and absolute pressure concepts
  • Basic knowledge of fluid mechanics
  • Ability to create and interpret pressure-height graphs
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  • Calculate hydrostatic pressure differences in various fluid systems
  • Explore the principles of closed-ended manometers
  • Learn about the relationship between pressure and fluid height in U-tube manometers
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Homework Statement


A U-shaped tube is partially filled with water. One end of the tube is then capped
so that the air in that end is trapped (initially at atmospheric pressure). The tube has a bore
diameter of 10mm. The initial height of the entrapped air gap is 200mm.
A gauge pressure of 1500 mmHg is then applied to the other end of the tube.

a) Calculate the difference in the height of the water column on each side of the tube after
the pressure is applied.
b) Explain how the function of this system is different in principle to the function of a
closed ended manometer used to measure absolute pressure.
c) Make a plot of applied gauge pressure versus tube fluid height difference.

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