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A cane filled with water is revolved in a vertical circle of radius 4m and the water just does not fall down the time period of revolution will be

A cane filled with water is revolved in a vertical circle of radius 4m and the water just does not fall down the time period of revolution will be

Grade:12

3 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi

at the top most position

three forces will act on the water

1 weight in the downward direction

2  normal reaction by bucket in the downward direction

3 centrifugal force in the upward direction

 

 so  mg + N =mv2/r

 for water just does not fall   N ≥ 0

so  mg = mv2/r

 v =√gr

 

 

so time period T = 2∏r/v

                         =2*3.14*4 /√4g

                          =3.14*4 /√9.8

                         =4.01

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Badiuddin

NISA
12 Points
6 years ago
i did nt understand the solution * this star idicates n my did v take n=o 
Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

at the top most position
three forces will act on the water
1 weight in the downward direction
2 normal reaction by bucket in the downward direction
3 centrifugal force in the upward direction
so mg + N =mv2/r
for water just does not fall N ≥ 0
so mg = mv2/r
v =√gr
so time period T = 2∏r/v
=2*3.14*4 /√4g
=3.14*4 /√9.8
=4.01
Thanks and Regards

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