Question
Wed September 12, 2012 By: Shriram

a bucket is raised from a well by means of rope which is wound round wheel of diameter 77cm. that a bucket ascents in 1 minute 28 sec with uniform speed of 1.1m/s calculate number of complete revolutions the wheel makes in raising the bucket ??

Expert Reply
Wed September 12, 2012

Time of ascent = 1 minute 28 seconds = 88 seconds

The uniform speed at which the bucket ascents = 1.1 m/s.

So, the height to which the bucket ascents = (88 × 1.1) m

 

Diameter of the wheel, d = 77 cm = 0.77 m

In each revolution of the wheel the bucket ascents a height of its circumference i.e. pi × d = (22/7) × 0.77 m = 22 × 0.11 m.

 

Therefore, the number complete revolution made by the wheel by ascending the bucket up to the height of (88 × 1.1) m = (88 × 1.1) / (22 × 0.11) = 4 × 10 = 40.

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