Question

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? use 3.14 for pi

Answer 1

`\bf \begin{array}{llll} \cfrac{v}{r}=w\\\\ v=\cfrac{s}{t} \end{array}\qquad \begin{cases} v=\textit{linear speed}\\ r=radius\\ w=\textit{angular speed}\\ s=\textit{arc's length}\\ t=\textit{time length} \\----------\\ r=6\\ s=14.13\\ t=3 \end{cases}\implies \cfrac{(s)/(t)}{r}=w`