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Wave function

  1. Mar 12, 2014 #1
    1. The problem statement, all variables and given/known data


    Write a simple harmonic motion with amplitude 14cm , frequency 3.0Hz , and maximum displacement at t=0.


    3. The attempt at a solution


    y (t) = A cos (ωt) = 14 cos (2πt/T)
    Dealing with angular frequency is easy. But deal with natural frequency throws me off course.
     
  2. jcsd
  3. Mar 12, 2014 #2

    collinsmark

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    Physics doesn't require much memorization compared to other fields of study. But here are a couple of relationships that are exceptions, and you might want to commit them to memory:

    [tex] f = \frac{1}{T} [/tex]
    [tex] \omega = 2 \pi f [/tex]

    Where T is the period, ω is the angular frequency (i.e., radial frequency), and f is the simple frequency (i.e., ordinary frequency). (Some textbooks represent the simple frequency with the Greek letter nu, [itex] \nu [/itex], which looks too much like a 'v' to me, but it's often used anyway. Just be aware of that.)
     
  4. Mar 12, 2014 #3
    Thanks. Frequency is the number cycles per second. In order to have it converted to radians, and by definition of one cycle = 2 pi, the product of f and 2pi gives radians s^-1
     
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