Question

A wheel completes $2000$ revolutions which is equivalent to a linear distance of $9.5km$ distance, then the diameter of the wheel is

• A. $1.51m$
• B. $2.56m$
• C. $5.54m$
• D. $7.58m$

Answer 1

The correct option is A $1.51m$

We know that the distance covered in $n$ revolutions is
$d=n\times 2\pi r=n\times \pi D$.....(i)

As per the question, $n=2000$ and distance $d=9.5km=9500m$
From eq (i), we get
$2000\pi D=9500$
$\Rightarrow D=\frac{9500}{2000\times \pi }=1.51m$