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Angular frequency descriptive term

  1. Sep 12, 2006 #1
    Is there a descriptive term for an angular frequency that is always equal to 2Pi, differing only by a tens multiple or division?

    Equivalently, is there a descriptive term for the wavelength associated with the above value. Dividing any tens multiple or division of 2Pi into the speed of light produces a numeric value of 4771345..... differing only in decimal point placement.
  2. jcsd
  3. Sep 12, 2006 #2


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    Staff: Mentor

    Angular frequency has units of radians per second, or [tex]s^{-1}[/tex]

    Are you thinking of the term harmonic?
  4. Sep 13, 2006 #3
    No, not a harmonic, only tens multiples or divisions. Angular frequency is the descriptive term to describe "any" result that is arrived at using 2Pi x freq.

    As a frequency, any result that gives a tens multiple or division of 2Pi is essentially a "generic angular frequency" for a wave. If you start out with an angular frequency where the frequency is "one", that value can represent any full wave regardless of its length. If I start adding a tens multiplier to the 2Pi value and convert that to a wavelength, I get a "base" wavelength for any wavelength in that tens range.

    As a frequency, when 2Pi or any tens multiple or division of that value converted to a wavelength gives a numeric value of 47713..... differing only in decimal point. The 47713... value might be construed as a "generic wavelength".

    There isn't a defintion for a "generic angular frequency", or for a "generic wavelength". I want to know if there are existing descriptive terms that describe that particular frequency and wavelength relationship.
  5. Sep 13, 2006 #4


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    Staff: Mentor

    I honestly have no idea what you are talking about. A factor of 10 is called a decade, and it's common to think in terms of decades when dealing with frequency on a log scale.
  6. Sep 14, 2006 #5
    When you mentioned that it is usual to think of frequency in terms of decades I realized that I have to distinguish between frequency and angular frequency when I convert to wavelength, one giving "normal" wavelength and the other "angular wavelength".

    The definition for "angular wavelength" is dividing normal wavelength by 2Pi.


    After going in circles on this for awhile you made me realize I was in an erroneous mental logic loop.

    I recall a quote from a book, "Boltzmanns Atom", where Neils Bohr is quoted saying to Einstein, "No, No, you are not thinking, you are just being logical."

    I think you have helped me solve a several thousand year old mathematical problem. I thank you.
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