Question

How many times a wheel of radius $$28$$cm must rotate to go $$352$$ m?(Take $$\pi =\dfrac{22}{7}$$)

Answer 1

Let wheel must be rotate n times of its circumference.

Radius of wheel$$=28$$cm and Total distance$$=352$$m$$=35200$$cm

$$\therefore$$ Distance covered by wheel$$=n\times$$circumference of wheel

$$\Rightarrow 35200=n\times 2\pi r$$

$$\Rightarrow 35200=n\times 2\times \dfrac{22}{7}\times 28$$

$$\Rightarrow n=\dfrac{35200\times 7}{2\times 22\times 28}$$

$$\Rightarrow n=200$$ revolutions.

Thus, wheel must rotate $$200$$ times to go $$352$$ m.