A thin uniform cylindrical turntable of ra- dius 3.1 m and mass 34 kg rotates in a hori- zontal plane with an initial angular speed of 7.4 rad/s. The turntable bearing is friction- less. A clump of clay of mass 12 kg is dropped onto the turntable and sticks at a point 1.3 m from the point of rotation. Treat the clay as a point mass. Find the angular speed of the clay and turntable. Answer in units of rad/s.