Periodic, power or energy signal?

Discussion in 'Homework Help' started by Jess_88, Oct 20, 2011.

  1. Jess_88

    Thread Starter Member

    Apr 29, 2011
    174
    1
    Hey guys,

    This question is confusing me. I can't get the right fundamental period.

    [​IMG]

    My working

    T1 = 2∏/ω1 = 2∏/3∏/8 = 16/3
    T2 = 2∏/∏/2 = 4

    which is the same as the solutions

    but when I determine T
    T1/T2 = 16/3/4 = 64/3 = k/l
    T = kT2 = 64*4 = 256.... which is different to the solutions (T = 12)

    what is going on here???


    thanks guys :)
     
  2. Zazoo

    Member

    Jul 27, 2011
    114
    43
    ω1 = 7∏/6 (≠3∏/8)

    T1 = 2∏/(7∏/6) = 12/7
    T2 = 2∏/(∏/2) = 4

    T1/T2 = (12/7)/4 = 3/7 = k/l
    T = kT2 = 3*4 = 12
     
    Jess_88 likes this.
  3. Jess_88

    Thread Starter Member

    Apr 29, 2011
    174
    1
    oh my gosh. I'm such a fool.
    I don't know what the heck I was doing there???
    thanks for that.
     
  4. Jess_88

    Thread Starter Member

    Apr 29, 2011
    174
    1
    ok. Now I know why I was so confused... I copied in the wrong problem...
    The one that is confusing me is the same, only it uses 3∏/8, not 7∏/6.

    and the solution
    Periodic, T1 = 16/4 ,
    T2 =4,
    Therefore, T =16.

    Now, as far as I can see, that can't be right. because T1/T2 = 64/3
    Am I missing something
     
  5. Zazoo

    Member

    Jul 27, 2011
    114
    43
    T1/T2 = (16/3)/(4) = 4/3, k = 4
    T = kT2 = 16

    It looks like you multiplied by 4 in the numerator, instead of in the denominator, when calculating T1/T2.
     
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