$($II$)$ A potter$$s wheel is rotating around a vertical axis through its center at a frequency of $1\mathrm{.}5$rev$/$s$.$ The wheel can be considered a uniform disk of mass $5\mathrm{.}0$ kg and diameter $0\mathrm{.}40$ m$.$ The potter then throws a $2\mathrm{.}8-$kg chunk of clay, approximately shaped as a flat disk of radius $8\mathrm{.}0$cm$,$ onto the center of the rotating wheel. What is the frequency of the wheel after the clay sticks to it$?$

Calculate the angular velocity when the person reaches the edge.

Calculate the rotational kinetic energy of the system of platform plus person before and after the person$$s walk.