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Homework Help: Cantilever beam

  1. Nov 30, 2009 #1
    1. The problem statement, all variables and given/known data
    The problem is to design a cantilever beam with a certain resonant frequency.

    2. Relevant equations

    w = sqrt (k/m)

    3. The attempt at a solution

    I know k for a beam and m can be written as density * volume.

    My question deals with the w. If I am given a frequency in Hz, can I plug it in for omega directly? Or do I need to multiply by 2*pi first?
  2. jcsd
  3. Nov 30, 2009 #2


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    Science Advisor
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    Gold Member

    Yes. The angular frequency w, in radians/sec , is the natural frequency, f , in Hz, multiplied by 2*pi. The equation you note is for the angular frequency.
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