Question

A bicycle wheel has diameter 1m. If the bicycle travels one kilometer, then the number of revolutions the wheel make is.

• A. $\frac{1}{\pi }$
• B. $\frac{100}{\pi }$
• C. $\frac{500}{\pi }$
• D. $\frac{1000}{\pi }$

Answer 1

The correct option is D $\frac{1000}{\pi }$

Let the number of revolution of the wheel is $n$.

Since, $\text{Radius}=\frac{1}{2}$
Then,
$n\times$ Circumference of wheel = Distance travelled by bicycle
$n\times 2\pi \times \frac{1}{2}=1\text{km}$
$n\times \pi =1000\text{m}$
$n=\frac{1000}{\pi }\text{m}$