Question

When a wheel completes $2000$ revolutions to cover $15\text{km}$ distance, then the radius of the wheel is?

• A. $1.19\text{m}$
• B. $2\text{m}$
• C. $2.4\text{m}$
• D. $0.8\text{m}$

Answer 1

The correct option is A $1.19\text{m}$

We know that
Distance covered in $1$ revolution =$2\pi r$, where $r$ is the radius of the wheel
Distance covered in $2000$ revolution = $15\text{km}=15000\text{m}$ $\left(\text{given}\right)$

$2000\times 2\pi r=15000\Rightarrow r=\frac{15}{4\pi }=1.19\text{m}$