A student holds two lead weights, each of mass 14 kg. When the students' arms are extended horizontally, the lead weights are 1 m from the axis of rotation and the student rotates with an angular speed of 1.9 rad/sec. The moment of inertia of student plus stool is 6.2 kgm2 and is assumed to be constant; i.e., the student's arms are massless! Then the student pulls the lead weights horizontally to a radius 0.15 m from the axis of rotation.
Calculate the final angular speed of the system.