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Two different balls are rolled (without slipping) toward a common finish line. Their angular speeds are shown to the right. The first ball, which has a radius of 0.0613 meter, is rolling along a conveyor belt which is moving at 1.19 meter per second and starts out 9.02 meter from the finish line. The second ball has a radius of 0.0488 meter and is rolling along the stationary floor. If the second ball starts out 6.44 meter from the finish line, how long does each ball take to reach the finish line? Find what angular speed would the losing ball have needed to cross the finish line at the same time as the winning ball?

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