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Amplitude of velocity (Travelling wave)

  1. May 10, 2015 #1
    1. The problem statement, all variables and given/known data
    A wave traveling along a long string has the form:

    ##y(x,t) = 20sin(3x - 2t),

    ## where ##x## is in metres and ##t## is in seconds.

    Find the amplitude of the velocity of any particle of the string.

    2. Relevant equations


    Do I just find ##\frac {\partial y}{\partial t} ## ?



    3. The attempt at a solution

    So ##\frac {\partial y}{\partial t} = -40cos(3x - 2t) ##, therefore the amplitude of the velocity of any particle of the string is ##-40 m/s##. Absolute value ##40 m/s##.
    Or is it more involved?
     
  2. jcsd
  3. May 10, 2015 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Your work looks good to me. However, the units for y are not given. 20 m seems like a very large amplitude for a wave on a string. :wideeyed:
     
  4. May 10, 2015 #3
    ahaha !. The :wideeyed: is making me laugh. Yeah the question didn't give the units for y. Thanks TSny.
     
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