Question

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

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

Answer 1

Answer: (A)

$1.5m$

Answer 2

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)

$\therefore D = 1.5meter$