Question

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

Answer 1

The wheel will make 40 revolutions.

Explanation:

We are given;

Diameter = 77 cm = 0.77m

Radius = 0.77/2

Radius = 0.385 m

Speed = 1.1 m/s

time = 1min 28 sec = 88 sec

Now, we know that;

Distance = speed×time

Thus;

Distance = 1.1 × 88

Distance = 96.8 m

Also,

Number of revolution = distance/circumference

Number of revolutions = 96.8/(2 × π × 0.385)

Number of revolutions ≈ 40