Simple Harmonic Wave

  1. For a simple harmonic transverse wave that is propagating along a string toward the right, how is maximum speed of a particle on the string calculated?
    Is it

    4A/T
    If A=amplitude and T=Period?
     
  2. jcsd
  3. displacement = s(x,t) = A*sin(ωt - kx + φ)
    particle speed = v(x,t) = ∂s(x,t)/∂t = (ωA)*cos(ωt - kx + φ)
    max particle speed (when cos=1) = ωA = 2πf*A = 2πA/T
     
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