1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Redbelly98

    User Avatar
    Staff Emeritus
    Science Advisor
    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook