Question

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

Answer 1

Diameter $=77cm$

Radius $=\frac{D}{2}=\frac{77}{2}cm=\frac{77}{200}m$

Speed $=1.1m/s$

Time $=1min28sec=88sec$

Distance can be completed as $S\times T$$=1.1\times 88$$=96.8m$

Circumference $\Rightarrow 2\times \pi \times r=2\times \frac{22}{7}\times \frac{77}{200}$$=2.42m$

$\therefore$ No. of Revolution $=\frac{Distance}{Circumference}$$=\frac{96.8}{2.42}=40$

$\therefore$ No. of revolution $\Rightarrow 40$