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.

Answer 1

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