The equation of a travelling wave is y60 cos(1800t-6x) where y is in microns, t in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is
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y=60cos(1800t−6x),y is in microns.
y=60cos(1800t−6x)×10−6
v=dtdy = particle velocity=60×10−6×1800sin(1800t−6x)
vparticle, max=6×18×10−3
vwave=kω;ω=1800;K=6
vwave=61800=300
vwavevparticle. max=3006×18×10−3=36×10−5=3.6×10−4
y=60cos(1800t−6x)×10−6
v=dtdy = particle velocity=60×10−6×1800sin(1800t−6x)
vparticle, max=6×18×10−3
vwave=kω;ω=1800;K=6
vwave=61800=300
vwavevparticle. max=3006×18×10−3=36×10−5=3.6×10−4
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