Question #339701

A wave is modeled with the function y(x,t) = (0.46m) cos((0.72rad/m)x − (0.77rad/s)t + π/3). Find the period.




Round your answer to 2 decimal places.



Do not forget the unit

1
Expert's answer
2022-05-13T03:24:43-0400
y(x,t)=(0.46m)cos((0.72rad/m)x(0.77rad/s)t+π/3)y(x,t) = (0.46m) \cos((0.72rad/m)x \\− (0.77rad/s)t + π/3)

y(x,t)=y0cos(2π/λ)x(2π/T)t+ϕ0)y(x,t) = y_0 \cos(2\pi/\lambda)x − (2\pi/T)t + \phi_0)

2π/T=0.77rad/s2\pi/T=0.77\:\rm rad/s

T=2π/(0.77rad/s)=8.16sT=2\pi/(0.77\:\rm rad/s)=8.16\: s


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