A traveling wave on a string is modeled by the wave equation:

      y$($x$,$ t$)=(6\mathrm{.}00$ cm$)$sin$[(2\mathrm{.}50$ m$1)$x $+(180\mathrm{.}00$ s^-$$¹)t$].$

 

  The string is under a tension of $31\mathrm{.}10$ N and has a linear mass density of$=0\mathrm{.}006$ kg$/$m$.$ What is the average power $($in W$)$ transferred by the wave on the string?