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March 29, 2017

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The following wave function represents a travelling wave:
y = 5.35 / [4.95 + (6.55x+2.15 t )2]
where y and x are in cm, and t is in seconds.a) What is the maximum displacement of the wave at t = 4.30 s ?

b)What is the wave velocity?

  • Physics - ,

    a) Plug in t = 4.3 s and you get
    y = 5.35/[4.95 + (6.55x+9.245)^2]
    The maximum displacement is where the denominator is zero, and is
    ymax = 5.35/4.95 = 1.08

    b) The crest of the wave moves such that 6.55 x +2.15t remains zero
    dx/dt = wave speed = -2.15/6.55
    = -0.328 cm/s

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