Question

The wheel of a bus has a radius of 50 cm. How many revolutions of the wheel will it take to cover a distance of 3km

Answer 1

NOW DIAMETER = 100CM

THEREFORE CIRCUMFERENCE = [tex](π times diameter)[tex]

= 3.14× 100 = 314 Cm

NOW THE NUMBER OF REVOLUTION REQUIRED NTO COMPLETE 3 KM

3KM = 300000 cm

NOW NUMBER OF REVOLUTION = 300000/314= 955.42 Approximatel

Answer 2

➡️Answer: 955 Revolutions

➡️Solution:

Wheels of bus can be considered as a circle.

In one revolution the wheel covers the distance equal to its perimeter/Circumference.

Circumference of Circle
$= 2\pi \: r \\ \\ here \: r = 50 \: cm \\ \\ = 2 \times \frac{22}{7} \times 50 \\ \\ = 314.28 \: cm$
To cover 3 km,

= 3000 m

= 3000×100 cm

To cover 300000 cm, wheel had to rotate

$= \frac{300000}{314.28} \\ \\ = 954.56$
Thus bus wheel has to revolve approx 955 revolutions to cover 3 km.

Hope it helps you.