Formula of object immersed in water

  • Thread starter Thread starter werson tan
  • Start date Start date
  • Tags Tags
    Formula Water
Click For Summary

Homework Help Overview

The discussion revolves around the application of a formula related to an object immersed in water, specifically focusing on the relationship between pressure and the centroid of the area submerged.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the definition of the centroid (yc) and its implications in the formula. Questions arise regarding the correct application of the formula and the interpretation of terms involving yc.

Discussion Status

Some participants have reiterated the definition of yc and its application in the formula, while others express confusion about the derivation of certain terms. There is an ongoing exploration of the definitions and their implications without reaching a consensus.

Contextual Notes

Participants reference a specific equation (3-18) that defines yc, indicating that there may be constraints or specific interpretations related to the homework context that are under discussion.

werson tan
Messages
183
Reaction score
1

Homework Statement


why the y ſ P dA will equal to P yc A ? why not P (yc^2) A ? since yc = ſ y dA / A

Homework Equations

The Attempt at a Solution

 

Attachments

  • IMG_20160226_084643[1].jpg
    IMG_20160226_084643[1].jpg
    49 KB · Views: 446
  • IMG_20160226_084725[1].jpg
    IMG_20160226_084725[1].jpg
    40 KB · Views: 431
  • IMG_20160226_084828[1].jpg
    IMG_20160226_084828[1].jpg
    53.3 KB · Views: 480
Physics news on Phys.org
It comes from the definition of yc at 3-18.
 
haruspex said:
It comes from the definition of yc at 3-18.
according to 3-18 , i would get P (yc^2) A instead of P (yc) A ... am i correct ?
 
werson tan said:
according to 3-18 , i would get P (yc^2) A instead of P (yc) A ... am i correct ?
No.
3-18 defines ##y_c=\frac 1A\int_AydA##. So at 3-20, ##P_0\int_AydA=P_0Ay_c##.
How do you get yc2 terms?
 
  • Like
Likes   Reactions: werson tan

Similar threads

Finding the center of mass of a simple 2D shape
  • · Replies 9 ·
Replies
9
Views
3K
Understanding Supercritical Flow: Q^2/g^1/3
  • · Replies 1 ·
Replies
1
Views
1K
Finding downward force on immersed object
  • · Replies 62 ·
3
Replies
62
Views
5K
Balance reading when new object immersed in water
  • · Replies 20 ·
Replies
20
Views
4K
What is the Process for Determining Hydrostatic Forces in a Swimming Pool?
  • · Replies 2 ·
Replies
2
Views
5K
How Does Energy Conservation Affect SHM in a Mass-Spring System?
  • · Replies 2 ·
Replies
2
Views
2K
Statics, moment of inertia simple square-shape (no calculus)
  • · Replies 4 ·
Replies
4
Views
3K
Calculating Volume: Integrating Pressure & Area
  • · Replies 3 ·
Replies
3
Views
1K
Electric field at a point inside a non-uniformly charged sphere
  • · Replies 6 ·
Replies
6
Views
2K
Minimum height of water to make the particle visible
  • · Replies 4 ·
Replies
4
Views
1K