Question

A wheel completes 2000 rotations in covering a distance of 9.5 km. The diameter of the wheel is

• A. $7.5m$
• B. $7.5cm$
• C. $1.5m$
• D. $1.5cm$

Answer 1

The correct option is C $1.5m$

Distance covered by wheel in 1 rotation $=2\pi r=\pi D$
(Where, D = 2r = diameter of wheel)
$\therefore$ Distance covered in 2000 rotation $=2000\pi D=9.5\times {10}^{3}m$ (given)
$\therefore$ D = 1.5 meter