Question
In the problems that follow, point $P$ moves with angular velocity $\omega$ on a circle of radius $r$ In each case, find the distance $s$ traveled by the point in time $t.$$$\omega=10 \mathrm{rad} / \mathrm{sec}, r=6 \mathrm{ft}, t=2 \mathrm{min}$$
Step 1
We know that the angular velocity $\omega$ is defined as the angle $\theta$ divided by the time $t$. Therefore, we can rearrange this definition to find $\theta$: \[\theta = \omega \cdot t\] Show more…
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