A Bucket is raised from well by means of a rope which is wound round a wheel of diamter 77cm - Maths - Areas Related to Circles

Question

A Bucket is raised from well by means of a rope which is wound
round a wheel of diamter 77cm Given that the bucket ascends in 1
minute 28 seconds with a uniform speedof 1 1m/s Calculate the
number of complete revolutions the wheel makes in raising the
bucket

Aakash Sharma · Accepted Answer

Dear Student!

Here is the answer to your query.

Given : The bucket ascends in 1 sec = 1.1 m

⇒ The bucket ascends in 1 minute 28 seconds (88 seconds) = 1.1 × 88 m = 96.8 m

Now the diameter of wheel = 77 cm $= \frac{77}{100}$ m = 0.77 m

⇒ Radius of wheel $= \frac{0.77}{2} m$

⇒ Circumference of the wheel $= 2 \times π× \frac{0.77}{2} m$

$= 2 \times \frac{22}{7} \times \frac{0.77}{2} m$ = 2.42 m

∴ Number of revolution wheel makes to raise the bucket = $\frac{Bucket ascends in total time}{Circumference of the wheel}$ $= \frac{96.8}{2.42} = 40$

Hence, the wheel makes 40 complete revolution to raise the bucket.

Cheers!

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A Bucket is raised from well by means of a rope which is wound round a wheel of diamter 77cm. Given that the bucket ascends in 1 minute 28 seconds with a uniform speedof 1.1m/s. Calculate the number of complete revolutions the wheel makes in raising the bucket.