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Angular frequency

  1. Mar 17, 2009 #1
    1. The problem statement, all variables and given/known data
    Now, I've learned that the time period of a spring mass system having spring constant k and mass m is 2 [tex]\pi[/tex] (m/k)^1/2. What is actually the angular frequency of a vertical spring mass system. It is executing one-dimensional motion, how does it have angular frequency? And..don't we call it angular velocity rather than angular frequency?


    2. Relevant equations

    T = 2 [tex]\pi[/tex] (m/k)^1/2

    3. The attempt at a solution
    Checked a few books, none of them really explained it.
     
  2. jcsd
  3. Mar 17, 2009 #2
    Help please, I'm new to oscillations and waves.
     
  4. Mar 18, 2009 #3

    Redbelly98

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    Staff Emeritus
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    Homework Helper

    This is actually a good question, though I've never heard anyone ask it before.

    Angular frequency is somewhat a misnomer. But it has come to mean the frequency (in terms of radians) of anything that oscillates sinusoidally.

    Since spring - mass motion is described by
    A sin(ωt),​
    then the ωt term can be thought of as an angle--even though it doesn't represent the angle of any physical object.
     
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