Hydrostatics - force on pistons in fluid

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Mandeep Deka
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Homework Statement


Assume a cubical container with liquid filled in it and with one hole in each side in its four lateral faces with same cross-sectional area A. Now there are pistons covering these holes which keep the fluid inside it in equilibrium. If there is an increment of force F on each piston, what is the increment in the pressure at the center of the container?


Homework Equations





The Attempt at a Solution



I am not getting any way to get out with this problem, the answer is F/A but i am not able to figure out anything that i can really use to find the answer.
Please provide some clue, as to how do i get out of it!
 
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Hi Mandeep! :smile:

Look at it the other way round …

how much would you have to increase the pressure inside the cylinder to make each piston exert an extra force F on something outside? :wink:
 


Thanks a lot...
I got it. If there is an increase of pressure of magnitude F/A in the center of the liquid, an equal pressure F/A will be exerted in all the directions which will balance the increase in the pressure in the pistons!