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Question
A bucket is raised from a well by means of a rope wound round a wheel of diameter 35 cm. If the bucket ascends in 2 minutes with a uniform speed of 1.1 m per sec, calculate the number of complete revolutions the wheel makes in raising the bucket.
Solution
Diameter of the wheel = 35 cm
Circumference = 2 π r = π d
`= 22/7 xx 35`
= 110 cm
Circumference = 110 cm
Time taken by the bucket = 2 min. = 2 x 60 = 120 seoonds
Speed of the rope = 1.1 m/s
Length of the rope = 120 x 1.1 = 132m
No.of. revolutions = `(132 xx 100)/110 = 120`
No. of revolutions made by rope = 120
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