Question #339704

A wave is modeled by the wave function y(x,t) = (0.51m) sin[(2π/7.9m)(x-(14.3m/s)t)]. What is the period of the wave?



Round your answer to 2 decimal places.


Do not forget the unit

1
Expert's answer
2022-05-14T16:46:10-0400
y(x,t)=y0sin[(2π/λ)(xvt)]y(x,t) =y_0\sin[(2π/\lambda)(x-vt)]

y(x,t)=(0.51m)sin[(2π/7.9m)(x(14.3m/s)t)]y(x,t) = (0.51m) \sin[(2π/7.9m)(x-(14.3m/s)t)]

The period of wave


T=λ/v=(7.9m)/(14.3m/s)=0.55sT=\lambda/v=(7.9\:\rm m)/(14.3\:\rm m/s)=0.55\:\rm s


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