Question

How many revolutions are made by a wheel 1 metre in diameter in travelling 8.8km?

Answer 1

Dear Student,

$$\begin{gathered} Diameterofwheel=1m \\ radiusofthewheel=0.5m \\ circumference=2\mathrm{\pi r}=2\times \mathrm{\pi }\times 0.5=\mathrm{\pi }\mathrm{m} \\ \mathrm{circumference}=\frac{\mathrm{\pi }}{1000}\mathrm{km} \\ \mathrm{number}\mathrm{of}\mathrm{revolutions}=\frac{8.8}{{\displaystyle \frac{\mathrm{\pi }}{1000}}}=\frac{8.8\times 1000}{\mathrm{\pi }} \\ =\frac{8.8\times 1000\times 7}{22} \\ =2800\mathrm{revolutions} \end{gathered}$$
Regards