A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77 cm.

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asked Mar 18 in Class X Maths by aditya23 (-2,166 points)

A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77 cm. Given that the ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/sec, calculate the number of complete revolutions the wheel makes in raising the bucket.(Take π = 22/7)

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answered Mar 18 by priya12 (-12,494 points)

Distance moved by the bucket = Speed × Time

= [1.1 × 88] metre      [∵  1 min. 28 sec = 60 + 28 = 88 sec]

= 96.8 metres

Circumference of wheel = 2πr

 = 2 × 22/7 × 77/2 cm (∵  r = d/2 = 77/2 cm)

= 242 cm = 2.42 metres

∴  Number of complete revolutions the wheel makes in raising the bucket = Distance/Circumference

= (96.8/2.42) = 40

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