A potter's wheel is rotating around a vertical axis through its center at a frequency of $2\mathrm{.}0$ rev$/$srev$/$s $.$ The wheel can be considered a uniform disk of mass $4\mathrm{.}9$ kgkg and diameter $0\mathrm{.}36$ mm $.$ The potter then throws a $2\mathrm{.}7-$kgkg chunk of clay, approximately shaped as a flat disk of radius $7\mathrm{.}0$ cmcm $,$ onto the center of the rotating wheel.