Answer
Linear speed $v=\frac{6\pi}{7}\text{ ft/s} \approx2.6928\text{ ft/s}$
Angular speed $\omega=\frac{\pi}{35}\text{ rad/s}\approx0.08976\text{ rad/s}$
Work Step by Step
Angular speed $\omega=\frac{\theta}{t}$
Using the formula above gives:
$\omega=\frac{1\text{ revolution}}{70\text{ s}}$
$\omega=\frac{2\pi\text{ rad}}{70\text{ s}}\\$
$\omega=\frac{\pi}{35}\text{ rad/s}\\$
$\omega\approx0.08976\,rad/s$
Linear speed $v=r\omega$ so
$v=30\text{ ft}\times\frac{\pi}{35}\text{ rad/s}$
$v=\frac{6\pi}{7}\text{ ft/s}\approx2.6928\,ft/s$
