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Finding the possible frequencies of a tuning fork

  1. Nov 23, 2009 #1
    1. The problem statement, all variables and given/known data

    A 0.0120 kg, 2.05 m long wire is fixed at both ends and vibrates in its simplest mode under a tension of 202 N. When a tuning fork is placed near the wire, a beat frequency of 5.10 Hz is heard. What are the possible frequencies of the tuning fork? (enter the smaller frequency first) (It asks for 2 answers)


    2. Relevant equations

    f = √(TL/m)/2L
    fb = |f1 - f2|


    3. The attempt at a solution

    I first found the frequency of the string using equation 1 then I simply thought that the frequency of the tuning fork would always be multiples of 5.10 Hz from the frequency of the fork. So i got answers like 50.4, 50.5...


    Can anyone please help out?
    Thanks!!
     
  2. jcsd
  3. Nov 23, 2009 #2
    Just use the second equation you listed in section 2. you know [itex] f_b [/itex] and [itex] f_1 [/itex] so what can [itex] f_2 [/itex] be?
     
  4. Nov 23, 2009 #3
    I end up getting 50.4 and 55.5 Hz, which is wrong.
     
  5. Nov 23, 2009 #4

    Delphi51

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    Homework Helper

    f - 5.1 and f + 5.1
     
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