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A simple harmonic travelling wave is represented by `y=50sinpi(20t-0.08x)` is SI units. Find its amplitude, time period and wavelength. Also, calculate maximum particle velocity. |
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Answer» The given equation is `y=50sinpi(20t-0.08x)` `=50sin(20pit-(8pi)/(100)x)` Compare it with standard equation of wave motion `y=rsin((20pit)/(T)-(2pix)/(lambda))` `r=50m, (2pi)/(T)=20pi, T=(2)/(20)=0.1s` `(2pi)/(lambda)=(8pi)/(100), lambda=25m` Maximum particle velocity `upsilon_(max.)=romega =r(2pi)/(T)` `=50xx20pi` `=1000xx3.1416=3141.6m//s` |
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