SOLUTION: A circular ceiling fan rotates at 40 revolutions per minute. A housefly sits on the outer edge of the fan and travels 3600 pie feet in nine minutes. Another housefly sits halfway
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Question 485996: A circular ceiling fan rotates at 40 revolutions per minute. A housefly sits on the outer edge of the fan and travels 3600 pie feet in nine minutes. Another housefly sits halfway between the center and the edge of the same fan and travels at the same rate for 15 minutes. How many feet did the 2nd fly travel. Express your answer in terms of pie. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! The linear speed is equal to the angular speed times the radius.
The two flies travel with the same angular rate.
Therefore, the fly sitting halfway between the center and the edge travels with
half the linear speed as the fly on the edge.
The speed of the fly on the edge is 3600 ft/9 min = 400 ft/min
So the speed of the other fly = 1/2*400 ft/min = 200 ft/min
Since the fly travels for 15 mins, the total distance = 200*15 = 3000 ft
[This is a long ride-- about 1.8 miles!]
