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

The Circumference of a Circle with diameter d is πd
The Circumference of a Circle with diameter 35cm is π x 35

= `(22)/(7) xx 35`

= 22 x 5
= 110cm
⇒ distance moved in 1 revolution = 110cm

= `(110)/(100)"m"`
= 1.1m
Total distance moved in 1 second = 1.1m
⇒ Total distance moved in 1 revolution = Total distance movedd in 1 second
⇒ Total distance moved in 2min = 2 x 60(Total distance moved in 1 revolution)
= 2 x 60 x .1m