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Homework Help: Derivation of wave speed

  1. Feb 28, 2013 #1
    33tt7og.png With reference to this diagram, my textbook tells me the following:


    I am able to follow the rest of the derivation after this point, but I do not understand where equation 15.14 came from? I'm trying to think in terms of small angle approximations, but nothing is really coming of that. Any help is appreciated.

  2. jcsd
  3. Feb 28, 2013 #2


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    The equation just says mathematically what the words say.
  4. Mar 1, 2013 #3
    I know what the equation says. I don't know where it came from, I.E, I don't know why it is true.
  5. Mar 1, 2013 #4


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    Staff Emeritus
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    The rope can only experience tension. Therefore, the slope of the rope at any point must also coincide with the direction of the tension force in the rope.
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