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Homework Help: W = 2pi(f) ?

  1. May 31, 2010 #1
    Can anyone explain to me how angular velocity (w) = 2pi(f) -->where f = frequency.

    This is not a homework question involving numbers. I'm reading a section on "the period of sinusoidal Nature of SHM" and I don't understand how they get this equation.
  2. jcsd
  3. May 31, 2010 #2
    frequency-number of rotations in a period of time, usually one s
    w-angular velocity-angle in an amount of time
    2pi-one full circle
    hence w=2pif
  4. May 31, 2010 #3


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    Staff Emeritus
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    Homework Helper

    In case the previous explanation was not quite clear: f and ω use different units to express the frequency. f expresses the frequency in terms of revolutions or number of complete cycles, while ω uses radians. 1 revolution is 2π radians (or 360 degrees), hence the factor of 2π in the relation between f and ω.
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