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A pulley system is being used to raise a load. The rope begins at the ceiling,goes down,round a pulley on the load,up to a pulley on the ceiling,back downand around a second pulley on the load,and up to a motor-drive pulley on the ceiling. The rope is everywhere vertical between the pulleys. The sheave has diameter... 顯示更多 A pulley system is being used to raise a load. The rope begins at the ceiling,goes down,round a pulley on the load,up to a pulley on the ceiling,back downand around a second pulley on the load,and up to a motor-drive pulley on the ceiling. The rope is everywhere vertical between the pulleys. The sheave has diameter 95mm and angular speed 65 rev/min. Find the speed with which the load is being raised: Ans: A. 35.9 mm/s B. 48.3 mm/s C. 59.1 mm/s D. 65.4 mm/s E. 76.2 mm/s F. 80.8 mm/s

最佳解答:

The moter drive will draw up 95 x pi x 65 / 60 = 323.2 mm of rope per second. Note that there are 4 pieces of rope pulling the load, hence if the load goes up by x, then the rope has to be drawn by a length of 4x. Therefore the speed of the load is 323.2/4 = 80.8 mm/s The answer is F.

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