A wave is propagating down a string having a diameter of $0\mathrm{.}0014$ m and a density of $7280$ kg$/$m$^3.$ The wave has the form y $=$ A sin$($kx$-$wt$+$o$),$ where A $=0\mathrm{.}014$ m$,$ w $=115$ rad$/$s$,$ and k$=53\mathrm{.}2$ rad$/$m$.$ The transverse speed is $1\mathrm{.}127$ m$/$s at x $=0\mathrm{.}0134023$ and t $=0\mathrm{.}005146$ s$.$ What is the initial phase angle if we assume that $0<$ kx$-$wt$+$o