Question Number 205106 by mr W last updated on 08/Mar/24
Commented by mr W last updated on 10/Mar/24
https://youtu.be/FUHkTs-Ipfg?si=59bDLBxJIY5Zk5cY
Answered by mr W last updated on 08/Mar/24
Commented by mr W last updated on 08/Mar/24
$${r}=\mathrm{1} \\ $$$${R}=\mathrm{3} \\ $$$${r}\varphi={R}\theta \\ $$$${rotation}\:{of}\:{circle}\:{A}: \\ $$$$\phi=\theta+\varphi=\left(\mathrm{1}+\frac{{R}}{{r}}\right)\theta=\mathrm{4}\theta \\ $$$${with}\:\theta=\mathrm{2}\pi: \\ $$$$\phi=\mathrm{4}×\mathrm{2}\pi=\mathrm{8}\pi,\:{i}.{e}.\:\mathrm{4}\:{revolutions} \\ $$