A sinusoidal wave is traveling on a string with speed $83\mathrm{.}2$cm $/$ s The displacement of the particles of the string at x $=24$ cm is found to vary with time according to the equation y $=(1\mathrm{.}9$cm$)*$ sin$[1\mathrm{.}5-(5\mathrm{.}2$s $^-1)*$ t$]$ The linear density of the string is $4\mathrm{.}7$g $/$ c $*$ m What are $($a$)$ the frequency and $($b$)$ the wavelength of the wave? If the wave equation is of the form y$($x$.$t$)=$y rn sin$($kx$-$ omega t$),$ what are $($c$)$ y$\_\{$m$\}$ d$)$ k$,$ and $($e$)$ w$,$ and $($f$)$ the correct choice of sign in front of w$?($g$)$ What is the tension in the string?