Answer
(a) $20\pi \, radians$
(b) $300\pi\,cm$
(c) $10\pi\,cm/sec$
Work Step by Step
(a) $\omega=\frac{\theta}{t}\implies \theta=\omega t$
$=(\frac{2\pi}{3}\,rad/sec)(30\,sec)=20\pi \, radians$
(b) $s=r\theta= 15\,cm\times20\pi$
$=300\pi\,cm$
(c) $v=r\omega=15\,cm\times\frac{2\pi}{3}\,rad/sec$
$=10\pi\,cm/sec$
