What is the maximum period of revolution for a cone filled with water?

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The discussion revolves around calculating the maximum period of revolution for a cone filled with water, focusing on the conditions under which the water remains inside the cone. Participants express confusion about the approach, debating whether to calculate the minimum velocity at the top of the cone first. They suggest using centripetal acceleration and the relationship between angular velocity and period, while also discussing the importance of ensuring the reaction force is sufficient to prevent the water from spilling. The conversation highlights the need to clarify the formulas involved, particularly the relationships between velocity, radius, and angular velocity. Ultimately, the goal is to derive the time period based on these principles.
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Homework Statement


A SMALL CONE FILLED WITH WATER OF RADIUS 4M AND THE WATER DOESNT FALL DOWN. WHAT MUST BE THE MAXIMUM PERIOD OF REVOLUTION


Homework Equations





The Attempt at a Solution



I AM CONFUSED!

HOW TO APPROACH THE PROBLEM? SHOULD FIRST CALCULATE THE MINIMUM VELOCITY AT TOP AND THEN FIND OUT THE t USING W=2PIE/T? (the answer is not cuming using this approach
 
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hi vipulgoyal! :smile:

(have an omega: ω and a pi: π :wink:)

is this movement in a vertical circle?

the water will fall out if the reaction force is zero …

use F = ma and centripetal acceleration :smile:
 


the speed at the top is √gl now have to find time period

the answer doest come by this method ω= 2π /T
ω =r x v
 
hi vipulgoyal! :smile:

(just got up :zzz: …)
vipulgoyal said:
the speed at the top is √gl now have to find time period

yup! :biggrin:
the answer doest come by this method ω= 2π /T
ω =r x v

("doest"? :confused:)

nooo :redface: …

v = ωr :rolleyes:​
 


yeah thnx... i always get mixed up in these formulas...
 
me too :redface:, so i check by using dimensions :-p …

v is L/T, r is L, ω is 1/T :wink:​
 

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