A small ball of mass M$=13\mathrm{.}0$kg is attached to a simple pendulum hanging from a uniform string of mass m$=0\mathrm{.}02$kg$.$ The period of oscillations for the simple pendulum is $2$s$.$ Determine the speed of a transverse wave $($in m$/$s$)$ in the string when the pendulum hangs at rest. Take g$=9\mathrm{.}8$m$/$s$2.$ State your answer to the nearest $0\mathrm{.}01$m$/$s$.$