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Homework Help: Translation + Two waves

  1. Apr 1, 2008 #1
    The question is: "Two travelling waves are superposed on the same string. Waves are y1=Asin (ωt−kx) and y2=Asin(ωt+kx).The distance between adjacent nodes of the resulting standing wave is: "

    This is the question I have tried to solve.
    I know that the distance between two nodes is 2pii. Then I do not know how to proceed.

    The answer is pii/k,
    but I do not know how it is obtained.

    Please, do not hesitate to reply if you know why the answer is pii/k.

    Thank you in advance!
  2. jcsd
  3. Apr 1, 2008 #2
    -kx and +kx is the phase shift of the two waves. How far apart are the two waves then? How can you relate this to the period and the distance, x?
  4. Apr 3, 2008 #3
    Thank you, you solved this question as 2pii=2kx => Distance(x)=pii/k.
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