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

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SUMMARY

The discussion focuses on calculating the pressure exerted by water on the sides and ends of a swimming pool with dimensions 34.0 m x 9.0 m and a depth of 2.30 m. The correct formula for pressure at the bottom of the pool is Pb = ρgz, where ρ is the water density, g is the acceleration due to gravity, and z is the water depth. The force on the bottom of the pool is calculated as 6.90 x 10^6 N. To find the pressure on the sides and ends, users must apply the same principles of hydrostatic pressure, taking into account the varying depth along the sides.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula Pb = ρgz
  • Knowledge of basic physics concepts such as force and area
  • Ability to perform unit conversions and calculations involving density and gravity
NEXT STEPS
  • Calculate the pressure at various depths along the sides of the pool using Pb = ρgz
  • Determine the total force exerted on the sides and ends of the pool
  • Explore the effects of different water densities on pressure calculations
  • Investigate the implications of hydrostatic pressure in engineering applications
USEFUL FOR

Students studying physics, civil engineers involved in pool design, and anyone interested in fluid mechanics and hydrostatic pressure calculations.

denxnis
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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:
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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
 

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