Rotating tube

JEE Advanced 2015 Guidance › Mechanics questions › Rotating tube

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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