Answer
(a) $\theta = 1.57~rad$
(b) $d = 31.4~cm$
(c) $v = 5.24~cm/s$
Work Step by Step
(a) We can find the angle generated by P in time $t$:
$\theta = \omega ~t$
$\theta = (\frac{\pi}{12}~rad/s)(6~s)$
$\theta = \frac{\pi}{2}~rad$
$\theta = 1.57~rad$
(b) We can find the distance $d$ traveled by P:
$d = \theta ~r$
$d = (\frac{\pi}{2}~rad)(20~cm)$
$d = 10~\pi~cm$
$d = 31.4~cm$
(c) We can find the linear speed $v$ of P:
$v = \frac{d}{t}$
$v = \frac{10~\pi~cm}{6~s}$
$v = \frac{5~\pi}{3}~cm/s$
$v = 5.24~cm/s$
