Question

A wheel has a diameter of $12$ cm. How many revolutions will it take to cover a distance of $26.4$ m?

Answer 1

Diameter of the wheel$=12$cm

Circumference of the wheel$=2\pi r$

$=2\pi \cdot \frac{12}{2}$

$=12\pi$

$=12\times \frac{22}{7}$

$=\frac{264}{7}$cm.

$\therefore$ Distance covered in $1$ revolution$=\frac{264}{7}$cm

$\therefore$ No. of revolutions to cover a distance of $26.4$m

$=\frac{26.4m}{\frac{264cm}{7}}$

$=\frac{2640cm}{\frac{264}{7}cm}$

$=\frac{2640\times 7}{264}$

$=70$ revolutions.