Map d sapling learning Two different balls are rolled (without slipping) toward

Question

Map d sapling learning 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 0.0713 m, is rolling along a conveyor belt which is moving at 1.69 m/s and starts out 8.42 m from the finish line. The second ball has a radius of 0.0428 m and is rolling along the stationary floor. If the second ball starts out 5.99 m from the finish line, how long does each ball take to reach the finish line? ra Number #1 16.3 rad /s Number #2 What angular speed would the losing ball have needed to cross the finish line at the same time as the winning ball? Number rad/s

Explanation / Answer

first ball = v = 1.69 + (r*w) = 1.69 + (20.7 * 0.0713) = 3.166 m/s

t = d/v = 8.42/3.166 = 2.6596 s

second ball v = (r*w) = 16.3 * 0.0428 = 0.69764 m/s

t = d/v = 5.99/v = 8.586 s

part b )

w = D/tr

w = 5.99 / ( 0.0428 * 2.6596)

w = 52.62 rad/s

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