finish line. Their angular speeds are shown to the right. The first ball, which

Question

finish line. Their angular speeds are shown to the right. The first ball, which has a radius of 0.0663 m, is rolling along a conveyor belt which is moving at 1.44 m/s and starts out 8.72 m from the finish line. The second ball has a radius of 0.0508 m and is rolling along the stationary floor. If the second ball starts out 5.69 m from the finish line, how long does each ball take to reach the finish line? 19.2 rad/s Number #1 17.8 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 PreviousCheck Answer NextExit Hint

Explanation / Answer

for 1: v_1 wrt belt = w1 r = 0.0663 x 19.2 = 1.273 m/s

v_1 wrt belt = V1 - Vbelt

1.273 = v1 - 1.44

v1 = 2.71 m/s

t1 = 8.72 / 2.71 = 3.21 sec .......Ans

for 2: v2 = 17.8 x 0.0508 = 0.904 m/s

t2 = 5.69 / v2 = 6.29 sec ......Ans

for ball 2:

it has to travel 5.69 m in 3.21 sec.

v = w (0.0508) = 5.69 / 3.21

w = 34.9 rad/s

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