About velocity

The explanation of the relationship between the various speeds on the Internet is too complicated, so I have made a simple and understandable summary about this.

Angular velocity $\omega$ [$rad/s$]: The angle of rotation in unit time.

$\omega=\frac{\phi}{t}=\frac{2\pi}{T}=2\pi f$

Linear velocity $v$ [$m/s$]: The distance of rotation in unit time.

$v=\frac{s}{t}=\frac{2\pi R}{T}=2\pi fR=\omega R$

Rotational speed $n$ [$r/s(rps),\ r/min(rpm)$]: The number of rotation in unit time.

$n=f=\frac{1}{T} \qquad 1[r/s]=60[r/min]$

$\omega=2\pi \cdot n[r/s]=\frac{2\pi \cdot n[r/min]}{60}\\ v=2\pi \cdot n\cdot R$

To be continued.🍑