Question

The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?

Answer 1

Answer: $17,649$

Step-by-step explanation:

Given

The radius of the cycle is $r=63\ cm$

Distance traveled by Paul is $68.89\ km$

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

$\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m$

No of revolution made by wheel

$\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649$