Why is the manometer problem solution calculated incorrectly?

In summary, a manometer is a device used to measure pressure differences between two points. To solve problems using a manometer, you need to connect the two points to the device and read the pressure difference from the scale. It can be used to solve various problems related to pressure, but common mistakes include not considering the effects of gravity and using the wrong units of measurement. A manometer can also measure the pressure of gases, as long as it is designed for gas measurements and properly calibrated. To solve manometer problems efficiently, it is important to draw a clear diagram, label variables, use correct units, consider gravity, and double-check calculations. Practice and familiarity with different types of problems can also be helpful.
  • #1
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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  • #2
The problem asked for PA-PB, and you calculated PB-PA.
 
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1. How do you use a manometer to solve problems?

To use a manometer to solve problems, you first need to understand how it works. A manometer is a device used to measure pressure differences between two points. To use it, you need to connect the two points to the two arms of the manometer. Then, you can read the pressure difference from the scale on the device.

2. What types of problems can be solved using a manometer?

A manometer can be used to solve various problems related to pressure, such as finding the pressure difference between two points, determining the pressure at a specific point, or calculating the height of a fluid column. It is commonly used in fluid mechanics, thermodynamics, and other engineering fields.

3. What are the common mistakes people make when solving manometer problems?

One of the most common mistakes people make when solving manometer problems is not considering the effects of gravity. The height of a fluid column in a manometer is affected by gravity, so it's important to take this into account when calculating pressure differences. Another mistake is using the wrong units of measurement, which can lead to incorrect results.

4. Can a manometer be used to measure the pressure of gases?

Yes, a manometer can be used to measure the pressure of gases. However, it is important to make sure that the manometer is designed for gas measurements and that it is properly calibrated. Gas pressure is typically measured in units of pounds per square inch (psi) or pascals (Pa).

5. What are some tips for solving manometer problems efficiently?

Here are some tips for solving manometer problems efficiently: 1) Draw a clear and accurate diagram of the manometer setup. 2) Label all the known and unknown variables. 3) Use the correct units of measurement. 4) Consider the effects of gravity. 5) Use the appropriate equations and formulas. 6) Double-check your calculations. 7) Practice and familiarize yourself with different types of manometer problems.

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