Question

Find the distance covered by the wheel of a bus in 2000 rotations if the diameter of the wheel is 98 cm.

Answer 1

It may be noted that in one rotation, the bus covers a distance equal to the circumference of the wheel.
Now, diameter of the wheel = 98 cm
∴ Circumference of the wheel = $\mathrm{\pi d}$ = $\left(\frac{22}{7}\times 98\right)$ cm = 308 cm
Thus, the bus travels 308 cm in one rotation.

∴ Distance covered by the bus in 2000 rotations = (308 × 2000) cm
= 616000 cm
= 6160 m [since 1 m = 100 cm]