SOLUTION: Two pulleys are attached by a rope. The radii of the pulleys are 20" and 7.3" respectively. The larger pulley rotates 30 times in 42 seconds. Find the angular speed of each pulley

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Question 967702: Two pulleys are attached by a rope. The radii of the pulleys are 20" and 7.3" respectively. The larger pulley rotates 30 times in 42 seconds. Find the angular speed of each pulley in radians per second.
Answer by lwsshak3(11628) About Me  (Show Source):
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Two pulleys are attached by a rope. The radii of the pulleys are 20" and 7.3" respectively. The larger pulley rotates 30 times in 42 seconds. Find the angular speed of each pulley in radians per second.
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larger pulley rotates 30 times/42sec= (angular speed of larger pulley)
angular speed is inversely proportional to radii of pulleys
angular speed of smaller pulley=%2820%2F7.3%29%2A1.43%28pi%29=3.92%28pi%29%28rad%2Fs%29