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Establish formula f in terms of l, T and m

  1. Jan 8, 2010 #1
    1. The problem statement, all variables and given/known dataQuestion: Assuming that the frequency of vibration f, of a wire/string depends on the length l, tension T and mass per unit length m, establish a formula for f in terms of l, T and m.,f, l, T and m



    2. Relevant equationsDon"t know



    3. The attempt at a solutionnot tried yet can any one help me in solving this. can anyone tell me how to solve it
     
  2. jcsd
  3. Jan 8, 2010 #2
    At what level are you studying the subject?

    There are two approaches possible here.

    If you've only just started studying physics, then this is most likely a problem in dimensional analysis.

    Assume that the frequency is a function of the mass per unit length, [tex]\mu[/tex], the total length of the wire, [tex]\ell[/tex] and the tension in the wire, [tex]T[/tex]

    [tex]f=\mu ^\alpha \cdot \ell ^ \beta \cdot T^ \gamma[/tex]

    Remember that the dimensions of the RHS must be exactly the same as those of the LHS.

    I'll give you a lead, and say that the dimensions of frequency are: [tex][f]=[T]^{-1}[/tex]

    If, however, you are studying this in a wave context, review your book and look at the section on waves in wires and look at the original question, since what you've posted can be interpreted as a multitude of things.
     
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