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Question about beats

  1. Jul 9, 2008 #1
    1. The problem statement, all variables and given/known data

    Two out-of tune flutes play the same note. One produces a tone that has a frequency of 262 Hz, while the other produces 266 Hz. When a tuning fork is sounded together with the 262-Hz tone, a beat frequency of 1 Hz is produced. When the same tuning fork is sounded together with the 266 Hz tone, a beat frequency of 3 Hz is produced. What is the frequency of the tuning fork?

    2. Relevant equations



    3. The attempt at a solution

    kind of lost, originally tried

    266-262= 4 and tried setting up a proportion of 262/1=266/3x or something but got nowhere. thanks to anyone who can help solvethis
     
  2. jcsd
  3. Jul 9, 2008 #2
    answer is 263 Hz.
    beats = difference in frequencies (it is just a formula , but its significance it more than jst its simple formula)..

    from 1st part of question [[When a tuning fork is sounded together with the 262-Hz tone, a beat frequency of 1 Hz is produced]]
    the frequency can either be 261 or 263 hz

    from 2nd part of question [[When the same tuning fork is sounded together with the 266 Hz tone, a beat frequency of 3 Hz is produced]]
    frequency can be 263 or 269 Hz

    combine both results we get 263 Hz
     
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