Question:
The diameter of a wheel of a bus is 90 cm which makes 315 revolutions per minute. Determine its speed in kilometres per hour. [Use π = 22/7].
Solution:
We have to calculate the speed of the bus. The wheel makes 315 revolutions per minute. We have,
Diameter of the wheel $(d)=90 \mathrm{~cm}$
So distance travelled in one revolution,
$=\pi d$
$=\frac{22}{7}(90) \mathrm{cm}$
$=\frac{1980}{7} \mathrm{~cm}$
So,
Speed $=$ (Distance travelled in one revolution) (Number of revolution per minute)
So,
Speed $=\left(\frac{1980}{7}\right)(315) \mathrm{cm} / \mathrm{min}$
$=89100 \mathrm{~cm} / \mathrm{min}$
Convert the unit of speed as,
$89100 \mathrm{~cm} / \mathrm{min}=\frac{89100(60)}{100000}$
$=53.46 \mathrm{~km} / \mathrm{hr}$