Force on the bottom of a swimming pool

  • Thread starter Thread starter confusedbyphysics
  • Start date Start date
  • Tags Tags
    Force Swimming
Click For Summary
SUMMARY

The total force on the bottom of a swimming pool measuring 2.6 m by 1.6 m with a uniform depth of 2.0 m is calculated using the formula: force = density × area × depth × g. The correct calculation yields a total force of 81619 N when accounting for atmospheric pressure, which is 1.013 × 10^5 Pa. The absolute pressure at the bottom of the pool must include both the water pressure and atmospheric pressure for accurate results. Users should ensure they use consistent significant figures, particularly for gravitational acceleration (g).

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with pressure calculations in physics
  • Knowledge of significant figures in scientific calculations
  • Ability to perform basic arithmetic operations with units
NEXT STEPS
  • Learn how to calculate pressure in fluids using Pascal's principle
  • Study the effects of atmospheric pressure on submerged objects
  • Explore the significance of significant figures in scientific reporting
  • Review examples of similar fluid force calculations in physics textbooks
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, engineers working with hydraulic systems, and educators teaching pressure and force concepts in science classes.

confusedbyphysics
Messages
61
Reaction score
0
I don't understand WHY my Webassign says I have this wrong. Here is the problem:

" What are the total force and the absolute pressure on the bottom of a swimming pool 2.6 m by 1.6 m whose uniform depth is 2.0 m?"

My book says the force = density X Area X depth below the surface X g

so f = (1X10^3) X (2.6 X 1.6) X (2) X (9.8) = 81536...with 3 sig figs 81500. Tried entering both 81500 N and -81500 N and both were wrong. It seems straightforward so what did I do wrong? Thanks!
 
Physics news on Phys.org
Perhaps because the question asked for two quantities? It asks for both absolute pressure and total force. Also, I get 81619 N when I run the numbers. Perhaps that may be the issue as well.
 
Yea, there are two slots in my Webassign, I am looking for the force first and then absolute pressure. Sorry I should have clarified that.

you got 81619? I keep getting 81536..am I missing a number??
 
Well, I noticed I used 9.81 for g in stead on just 9.8...
 
Webassign sometimes gives problems with sig figs. Try to be as accurate as possible with constants. Solve the problem with the numbers given in the textbook first. Check with the back of the book. If you get the same answer proceed to webassign using the same number of sig figs for g. Use one additional "sig fig" in all answers.
 
I just had a very similar problem on my webassignments.
I finally figured it out.
the answer is wrong for total force because you are not taking into account the force of the air on the water. you need to calculate the pressure of the water in the pool then add 1.013 X 10^5 Pa (the pressure of air) to find the absolute pressure and then use that value to find the force. this way you are taking into account the force of the air also and then you will get the total force correct.
 

Similar threads

  • · Replies 29 ·
Replies
29
Views
7K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 6 ·
Replies
6
Views
9K
  • · Replies 2 ·
Replies
2
Views
8K
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
13
Views
14K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K