calculating angular velocity

Discussion in 'Physics' started by electronicstech07, Sep 20, 2008.

  1. electronicstech07

    Thread Starter Member

    Nov 16, 2007
    18
    0
    I am confused and having trouble calculating the corresponding frequency for the phasor 628 rad/s.

    Given the formula w= 2*pi*f where pi = 3.14.. and f = frequency in Hertz, how would I be able to calculate the answer?

    Help is much appreciated. Thanks!
     
  2. studiot

    AAC Fanatic!

    Nov 9, 2007
    5,005
    513
    Conversions in angular measure are based on the full circle.

    One full circle corresponds to one cycle so.

    One full circle per second equals one Hertz.

    A full circle has 360 degrees.

    A full circle has 2π (pi) radians.

    So 1 full circle per second is equal to 2π rads per second. (your formula)

    So 1/2π full circles is equal to 1 rad per second

    So 628/2π full circles per second is equal to 628 rads per second

    or

    628/2π Hz = 628 rads/s
     
  3. mik3

    Senior Member

    Feb 4, 2008
    4,846
    63
    w= 2*pi*f

    if you solve for f you get:

    f=w/(2*pi)=628/(6.28)=100 Hz
     
  4. electronicstech07

    Thread Starter Member

    Nov 16, 2007
    18
    0
    That cleared up the confusion I had. Thanks for the replies!
     
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