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Question on flows

  1. Jun 2, 2013 #1
    1. The problem statement, all variables and given/known data

    θ'=1-cosθ If we have the flow starting at θ(0)=A, determine the amount of time, T(A), that it takes to reach θ=pi and what is the leading behavior as A approaches 0.


    2. Relevant equations



    3. The attempt at a solution
    Well, in my book, they give an equation T=2pi/w where w is the velocity of θ'. T means in this equatio the time the flow requires to go a full circle back to the initial point back to 0. Not sure how to use this equation in this case I think they got this equation by saying that θ(t) changes by 2pi meaning the travel distance while in this case the travel distance is pi-A so T=(pi-A)/w but not exactly sure about this. I really need help with this...
     
  2. jcsd
  3. Jun 3, 2013 #2

    haruspex

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    By θ' I assume you mean dθ/dt, right? Can you solve that differential equation?
     
  4. Jun 5, 2013 #3
    Yes, you can write it as you say
     
  5. Jun 5, 2013 #4

    haruspex

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    I also asked whether you can solve the DE. I don't understand what you mean by "the velocity of θ' "
     
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