Answer
(a) $\frac{\pi}{3}\, radians$
(b) $15\pi\,ft$
(c) $\frac{5\pi}{4}\,ft/min$
Work Step by Step
(a) $\omega=\frac{\theta}{t}\implies \theta=\omega t$
$=(\frac{\pi}{36}\,rad/min)(12\,min)=\frac{\pi}{3}\, radians$
(b) $s=r\theta= 45\,ft\times\frac{\pi}{3}$
$=15\pi\,ft$
(c) $v=r\omega=45\,ft\times\frac{\pi}{36}\,rad/min$
$=\frac{5\pi}{4}\,ft/min$
