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Homework Help: Waves: velocity, frequency, wavelength

  1. Mar 27, 2008 #1
    1. The problem statement, all variables and given/known data

    If you slosh the water back and forth in a bathtub at the correct frequency, the water rises first at one end and then at the other. Suppose you can make a standing wave in a 135 cm long tub with a frequency of 0.31 Hz. What is the velocity of the water wave?

    2. Relevant equations

    I know [tex] v = f \lambda [/tex] and that [tex] f = \frac{1}{T} [/tex], with [tex]v[/tex]=velocity, [tex]f[/tex]=frequency, [tex]\lambda[/tex]=wavelength, and [tex]T[/tex]=period.

    3. The attempt at a solution

    Okay, so this looked easy enough, right?
    I converted 135 cm to 1.35 m and multiplied 1.35 x .31. This isn't the correct answer, however, and I am rather stymied. Am I missing something easy?
  2. jcsd
  3. Mar 27, 2008 #2
    I believe that the frequency represents the fundamental frequency, ie. the bathtub length is half a wavelength.
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