Two different balls are rolled (without slipping) toward a common finish line. Ball 1 has an angular speed of 1=21.2 rad/s, and ball 2 has an angular speed of 2=16.8 rad/s. The first ball, which has a radius of 0.0588 m, is rolling along a conveyor belt that is moving at 1.19 m/s and starts out 8.72 m from the finish line. The second ball has a radius of 0.0488 m and is rolling along the stationary floor. Two balls are vertically offset and are rolling with clockwise angular speed towards a vertical finish line to the right. Ball 1 rolls with an angular speed of omega subscript 1 on a conveyor belt above ball 2. Arrows indicate that the top surface of the conveyor belt that ball 1 is on moves to the right, while the bottom surface of the conveyor belt moves to the left. Ball 2 rolls with an angular speed of omega subscript 2 on a stationary floor. If the second ball starts out 6.59 m from the finish line, how long does each ball take to reach the finish line? ball 1: s ball 2: s What angular speed would the losing ball have needed to cross the finish line at the same time as the winning ball?