Question

the number of revoi made by a circular wheel of diameter 1 m in rolling a distance of 22 km is​

Answer 1

$\: \: \: \: \: \: \: \: \: \: diameter = 1m$

$\: \: \: \: \: \: \: \: \: \: \: \: \: ra dius \: = \frac{1}{2} m$

$circumference \: of \: circle = 2\pi r$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 \times \frac{22}{7} \times \frac{1}{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{22}{7} m$

$\: \: \: \: \: \: \: \: \: \: \: \: no \: of \: revolutions \:$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{22}{ \frac{22}{7} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 22 \times \frac{7}{22}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7 \: revolutions$

Answer 2

Given,

Diameter of wheel $\[ = 1m\]$

Distance covered in rolling $\[ = 22km\]$

Solution,

Know that the distance covered by circular wheel in 1 revolution is equal to the circumference of circle.

Distance cover by circular wheel in 1 revolution,

$\[\begin{array}{l} = \pi \times diameter\\ = \pi \times 1\\ = \frac{{22}}{7}m\end{array}\]$

Calculate the number of revolution made by circular wheel to cover a distance of 22 km.

$\[ = \frac{{22km}}{{\frac{{22}}{7}m}}\]$

$\[ = \frac{{22 \times 1000m}}{{\frac{{22}}{7}m}}\]$

$\[ = \frac{{1 \times 1000}}{{\frac{1}{7}}}\]$

$\[ = 7 \times 1000\]$

$\[ = 7000\,revolution\]$

Hence the number of revolution made by circular wheel are $\[7000\,\]$