A potter's wheel is rotating around a vertical axis through its center at a frequency of $1\mathrm{.}8$ rev$/$srev$/$s $.$ The wheel can be considered a uniform disk of mass $4\mathrm{.}8$ kgkg and diameter $0\mathrm{.}32$ mm $.$ The potter then throws a $3\mathrm{.}2-$kgkg chunk of clay, approximately shaped as a flat disk of radius $8\mathrm{.}0$ cmcm $,$ onto the center of the rotating wheel.

What is the frequency of the wheel after the clay sticks to it$?$ Ignore friction.