In covering a distance $s$ metres,a circular wheel of radius $r$ metres makes $\frac{s}{2 \pi r}$ revolutions. Is this statement true? Why?
(A) The statement is true.
The distance covered by a wheel in one complete revolution is equal to its circumference,which is given by the formula $2 \pi r$ metres.
To find the total number of revolutions made in covering a distance of $s$ metres,we divide the total distance by the distance covered in one revolution:
$\text{Number of revolutions} = \frac{\text{Total distance}}{\text{Distance in one revolution}} = \frac{s}{2 \pi r}$.
The distance covered by a wheel in one complete revolution is equal to its circumference,which is given by the formula $2 \pi r$ metres.
To find the total number of revolutions made in covering a distance of $s$ metres,we divide the total distance by the distance covered in one revolution:
$\text{Number of revolutions} = \frac{\text{Total distance}}{\text{Distance in one revolution}} = \frac{s}{2 \pi r}$.
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