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Wave paddle application Integration problem

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

    This is an engineering design application, but It contains integration. Sorry if I didnt post it in the right folder.


    I think a)'s answer should be (pgw)^2*h^2
    h=r
    To be honest no Idea what is going on..

    Thanks
     

    Attached Files:

  2. jcsd
  3. Mar 3, 2013 #2
    What do the values 'p', 'g' and 'w' represent?

    If they are just constants, then remove them from the integrand.
    Eg.
    gif.gif
     
  4. Mar 3, 2013 #3
    So, I think I've figured out 1a) ,b) ,c)
    1a)
    (pgwH^2)/2
    1b)
    Fo=-(pgwH^3)/3
    1c)
    θ=βsin(ωt)
    dθ/dt=ωβcos(ωt)
    d^2θ/dt=ω^2βsin(ωt)

    Q2 gets something like:
    T=-(pgwH^3)/3+Bωβcos(-tan^(-1)(Aω/B))-Aω^2βsin(tan^(-1)(Aω/B)
    which seems a bit complicated to be integrated, because we have to find first its derivetive..
    Thanks
     
  5. Mar 3, 2013 #4

    haruspex

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    I don't think the coefficient is 1/3. Please post your working.
    Check your signs.
    You can simplify cos(arctan(x)) so as not to involve any trig. I think you have a sign wrong, propagated through from 1c. What makes you think you need to integrate this?
     
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