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Simple Harmonic Wave

by vroman
Tags: harmonic, simple, wave
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vroman
#1
Jun25-05, 10:25 PM
P: 9
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?
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geosonel
#2
Jun25-05, 10:45 PM
P: 88
Quote Quote by vroman
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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