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

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In summary, the conversation discusses a U-shaped tube partially filled with water and capped on one end to trap air at atmospheric pressure. The tube has a bore diameter of 10mm and 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. The conversation then goes on to calculate the difference in the height of the water column on each side of the tube, discuss the difference in function between this system and a closed ended manometer used to measure absolute pressure, and suggest making a plot of applied gauge pressure versus tube fluid height difference.
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Dudleyz
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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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  • #2
I would like to try to solve the problem, but you're supposed to try first...
 

1. What is a U-tube manometer problem?

A U-tube manometer problem is a type of scientific experiment used to measure pressure differences between two points. It involves using a U-shaped tube filled with a liquid, typically mercury or water, to compare the levels of the liquid on either side of the tube.

2. How does a U-tube manometer work?

A U-tube manometer works by balancing the pressure of a gas or liquid in a closed system against the weight of a column of liquid in a U-shaped tube. As the pressure changes, the liquid in the tube will move up or down, allowing for the measurement of pressure differences.

3. What factors can affect the accuracy of a U-tube manometer?

The accuracy of a U-tube manometer can be affected by factors such as the type and density of the liquid used, the width and length of the U-tube, and the skill of the person reading the measurements. Environmental factors such as temperature and air pressure can also impact the accuracy of the results.

4. How is a U-tube manometer calibrated?

A U-tube manometer can be calibrated by first setting the liquid levels to zero on both sides of the tube, then introducing a known pressure source and adjusting the levels until they match the known pressure. The difference between the two levels can then be used to calibrate the manometer for future use.

5. What are some common applications of a U-tube manometer?

U-tube manometers are commonly used in various fields of science and engineering to measure and monitor pressure differences. They are frequently used in experiments and studies involving fluid mechanics, as well as in industrial and medical settings for tasks such as monitoring gas or liquid flow and measuring blood pressure.

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