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Calculating time period in vertical circular motion

  1. Jul 29, 2010 #1
    1. 1. The problem statement, all variables and given/known data:
    How to calculate minimum time period 't' required to complete a vertical circular motion by a cone filled with water, so that the water doesn't fall?



    2. Relevant equations:
    v^2 = gR * [ 3 + 2 cos (theta) ] obtained by applying law of conservation of energy.


    3. 3. The attempt at a solution:
    I have found that v^2 = gR * (3 + 2 cos theta ). But the velocity varies with theta. So, how to calculate the time required to complete one revolution using variable velocity?


    Thanks!
     
  2. jcsd
  3. Jul 29, 2010 #2
  4. Jul 29, 2010 #3

    collinsmark

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    Gold Member

    Hello Taninamdar,

    Welcome to Physics Forums!

    You might want to research "Elliptic Integral of the First Kind," perhaps. Good luck!
     
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