Easy Physics Concept but I cannot understand

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Homework Help Overview

The problem involves fluid dynamics, specifically examining the pressures at different points in a pipe with varying cross-sectional areas and elevations. The original poster seeks to understand the relationship between pressure and area, as well as the implications of elevation on pressure.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the equation P = F/A and Bernoulli's Equation to analyze the pressures at points A, B, and C. They express confusion about the relationship between pressure and area, particularly in the context of differing diameters. Participants question the definitions of "thicker" and explore the implications of velocity changes due to area differences.

Discussion Status

The discussion is progressing with participants engaging in clarifying questions and exploring the implications of Bernoulli's Equation. The original poster appears to gain insight from the dialogue, indicating a productive exchange of ideas.

Contextual Notes

The original poster mentions an inability to attach an image, which may limit the clarity of the problem setup. There is also an assumption that the participants are familiar with Bernoulli's Equation and its application in fluid dynamics.

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Homework Statement



Fluid is flowing from left to right through a pipe (see the drawing). Points A and B are at the same elevation, but the cross-sectional areas of the pipe are different. Points B and C are at different elevations, but the cross-sectional areas are the same. Rank the pressures at the three points, highest to lowest.


I could not attach the image but it looks like this: [ A ]---B--- , where A is thicker than B, and C is way above these two. The answer is A,B,C.

Homework Equations



P = F/A
Bernoulli's Equation maybe?


The Attempt at a Solution



I understand that Point C has the lowest pressure because it is elevated. To decipher between A and B, I am using the equation P = F/A. However, this tells me that pressure and area are inversely proportional which would suggest that Point A has a lower pressure than Point B. Where is my logic wrong?
 
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When you say A is thicker, what do you mean? Larger in internal diameter?
 
yes A is larger in diameter than B.
 
So what can you say about the velocities at A and B?
 
The velocity at Point B will be greater than the velocity at Point A because area and velocity are inversely proportional according to A1v1 = A2v2.
 
Now looking at Bernoulli's equation, what does that tell you about pressures at A and B?
 
I see it now! Thank you so much!
 

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