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Derivation of angular frequency equation

  1. Mar 21, 2012 #1
    1. The problem statement, all variables and given/known data
    Derive the angular frequency equation (ω=√(g/L) from following equations:


    2. Relevant equations
    1) ((d^2)*θ)/(d*t^2)= (-g/L)*θ
    2) θ=θmaxcos(ωt+δ)

    3. The attempt at a solution
    I don't even know where to start
     
  2. jcsd
  3. Mar 21, 2012 #2

    gneill

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    Staff: Mentor

    (1) tells you that ##\frac{d^2\theta}{dt^2}## is (-g/L)θ. (2) gives you a formula for θ. If you were only given (2), how would you find an expression for ##\frac{d^2\theta}{dt^2}## from it?
     
  4. Mar 21, 2012 #3
    Would you take the second derivative with respect to time? (giving d2/dt2) then set this equal to the other equation?
     
  5. Mar 21, 2012 #4

    gneill

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    Staff: Mentor

    I suggest you give it a try :wink:
     
  6. Mar 21, 2012 #5
    So the main question I have then is for when I'm deriving how do I deal with the θmax? Do I treat it just like θ or do I treat it like a constant?
     
  7. Mar 21, 2012 #6

    gneill

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    Staff: Mentor

    It is, of course, a constant. But do keep in mind that θ = θmaxcos(ωt + δ) :wink:
     
  8. Mar 21, 2012 #7
    Alright I got it. Thanks
     
    Last edited: Mar 21, 2012
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