Pressure on sides and ends of pool, given the pools dimensions and depth

Click For Summary

Homework Help Overview

The discussion revolves around calculating the pressure exerted by water on the sides and ends of a swimming pool, given its dimensions and the depth of water. The original poster provides the dimensions of the pool and the depth of water but seeks clarification on how to determine the pressure on the sides and ends.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the concept of pressure using the dimensions of the pool but struggles with the correct application of the relevant equations. Some participants question the accuracy of the equations used and suggest verifying the calculations.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's attempts. There is a focus on clarifying the equations related to pressure and force, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are discussing the application of pressure calculations in the context of a homework assignment, which may impose specific constraints on the methods used. The original poster has indicated that they have a solution for the force on the bottom but are uncertain about the sides and ends.

denxnis
Messages
6
Reaction score
0

Homework Statement


A swimming pool has dimensions 34.0 m 9.0 m and a flat bottom. When the pool is filled to a depth of 2.30 m with fresh water, what is the force caused by the water on the bottom?

I have the answer to this which is 6.90 x 10^6, however I cannot figure out the pressure on the sides or ends.

Homework Equations


Pressure on bottom = water density X gravity x area

The Attempt at a Solution


I understand the water depth has to play into this somehow but I cannot figure out how...
I attempted 9.80 x 2 x 9 = 176.4 kN
and
9.80 x 2 x 34 = 666.4 kN

These were incorrect
 
Last edited:
Physics news on Phys.org
Your relevant equation is wrong.
Check it.
 
Apologies,
ρ = density - P = pressure - F = force - b = bottom of pool -
z = area of pool
Pb = ρgz
Fb = PbA
 
z is the depth of the water. Now find the pressure at the bottom Pb and then Fb
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 29 ·
Replies
29
Views
7K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
13
Views
14K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 29 ·
Replies
29
Views
4K
Replies
6
Views
5K