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Simple Harmonic Wave

  • Thread starter vroman
  • Start date
9
0
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?
 
88
0
vroman said:
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?
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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