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Date Posted: 5/12/2008 12:54:50 AM  Status: Live
phy101
Course Textbook Chapter Problem
General Physics University Physics with Modern Physics (10th) by Young 1 to 10 1 to 22
Question Details:

                                                                                  

 

To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid presses on the sides of the wall equal to the force exerted by the liquid on the bottom of the vessel?

 

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Oracle
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(Ohio University Main Campus)
Date Posted: 5/12/2008 4:51:02 AM  Status: Live
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Response:
Average pressure on the sides, p = (h/2)dg
Force on the walls,
   F = p.A = 0.5hdgx2πR.h = πR.h2.dg --(1)
 
Force on  the  bottom,
         F' = hdg. πR2 = πhdg.R2  --(2)
From (1) and (2)
                πR.h2.dg  =  πhdg.R2 
                  .h  = R
 
 
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