Rotating tube

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FIND THE DIFFERENCE IN WATER LEVELS IN THE CENTER OF THE TUBE AND THE CORNERS. TUBE IS ROTATED BY ANGULAR VELOCITY Ï‰ AND THE LIQUID HAS DENSITY OF Ï. [1]

Each of you must have done this sum atleast a 1000 times, but pls post the full solution.

#Physics #Mechanics

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Anirudh Narayanan ·2009-01-27 17:30:30

PLS ALSO ASSUME ANY OTHER PARAMETERS THAT I HAVE NOT GIVEN (EXCEPT THE DIFFERENCE IN HEIGHT[3])

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Abhishek Priyam ·2009-01-28 02:28:22

....contd

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Abhishek Priyam ·2009-01-28 02:32:06

now tending acc along surface is zero..

therefore..
Ï‰²x.cosÎ¸=g.sinÎ¸

tanÎ¸=Ï‰²x
g

dy = Ï‰²x
dx g

Solving it we get..
eqn of parabola...

y_x=R=Î”H .... if center of tube is (0,0)

Is it alright..

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Abhishek Priyam ·2009-01-28 02:44:56

another one on same concept...(a nice one.. :)

http://targetiit.com/iit_jee_forum/posts/fluids_1029.html

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Rotating tube

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