A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.5rev/s . The wheel can be considered a uniform disk of mass 5.4kg and diameter 0.42m . The potter then throws a 2.5-kg chunk of clay, approximately shaped as a flat disk of radius 7.2cm , onto the center of the rotating wheel.
Part A What is the frequency of the wheel after the clay sticks to it?