frequency units

Discussion in 'General Electronics Chat' started by samjesse, Dec 15, 2009.

  1. samjesse

    Thread Starter Senior Member

    Sep 14, 2008

    I ofter come across what seams to be a confusing issue.

    f = 1/2pi root(LC)
    f = 1/root(LC)

    the 2 pi is missing in the second equation.

    does this mean the first is in Hz and the second is number of cycles per 360° rotation?

  2. KL7AJ

    AAC Fanatic!

    Nov 4, 2008
    The second version is in "angular frequency" which is a bit more elegant for some analytical work.

  3. steveb

    Senior Member

    Jul 3, 2008
    Yes, and traditionally the greek letter omega (\omega ) is used for angular frequency with units of radians/second, while  f is typically used for cyclic frequency measured in units of Hz=cycles/second.

    However, this is just tradition in physics/engineering, and it is best to clearly define it whenever frequency is discussed.

    I like to use the word "cyclic" to qualify frequency  f={{1}\over{T}}, where  T is the period. For many years I called  f frequency and  \omega angular frequency. However, if you just say frequency, it's ambiguous. However, the term cyclic-frequency makes it more clear.

    By the way, does anyone know of another term for cyclic-frequency. Since the day I decided to use this terminology, I tried to think of another word for it, but never found a better one. I often wonder if I'm missing another obvious choice.