Question

A bicycle wheel of diameter 56 cm, is making 45 revolutions in every 10 seconds, then the speed, in kilometre per hour of the bicycle travelling is 28.512 km/hr

If true enter 1 else 0

Answer 1

Since the diameter of the wheel is $56cm$, its radius is $28cm$.
In one revolution, the wheel covers the distance of one circumference.
Circumference of the wheel $=2\pi r=2\times \frac{22}{7}\times 28=176cm$
Since the wheel makes 45 revolutions in 10 seconds, it makes $\frac{45}{10}$ revolutions in one second.
Total distance covered in one second $=$ No. of revolutions in one second
$\times$ circumference $=\frac{45}{10}\times 176=792$ cm/s
cm/s can be converted to km/hr using the formula cm/s $\times \frac{18}{500}=$ km\hr
Now $792\times \frac{18}{500}=28.512$ km/hr