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HELP L-shaped tank problem!

  • Thread starter azrida
  • Start date
  • #1
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HELP!! L-shaped tank problem!

Homework Statement



The L-shaped tank shown below is filled with water and is open at the top.
(a) If d = 7.0 m, what is the force on face A due to the water?
(b) What is the force on face B due to the water?


Homework Equations



F=PA
P=pgh

The Attempt at a Solution



I've got the (a) part right: pgd*A = 1000*9.8*14*49 = 6722800.

However, I don't have a clue how I can get pressure on face B!

I tried setting distance as 3d = 21 and 4d = 28, and area as d^2 = 49, but nothing seems to work.
The answer is supposed to be 8.40e+06.

I need to know this for exam on Tuesday.

Please, HELP!!!!!!!

picture's at http://www.webassign.net/hrw/hrw7_14-33.gif
 
Last edited:

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
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No image, so I have no idea either.
 
  • #3
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  • #4
LowlyPion
Homework Helper
3,090
4


Face B is a vertical face. Hence the pressure changes with depth.

So consider then the average force across the B face between 2d and 3d times the area.
 
  • #5
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Face B is a vertical face. Hence the pressure changes with depth.

So consider then the average force across the B face between 2d and 3d times the area.

So, do I do 2.5d..?


And 2.5d seems to do the trick since I got the correct answer with it:

F = PA = pgdA = 1000*9.8*(2.5*7)(7*7) = 8403500 N


Thanks a bunch :-) !!!
 
Last edited:
  • #6
LowlyPion
Homework Helper
3,090
4


Yep. You got it.
 
  • #7


well, it is actually not 2.5D. the more precise working is integrating.

let pgh be the function where p and g is constant. Hence, you can integrate h where the upper boundary is 3D and the lower boundary is 2D. The answer would be more or less the same if you use 2.5D but better luck next time, you might need this :)
 

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