Answer
$\omega=\frac{1}{60}\text{ rad/s}$
$v=\frac{1}{12} \text{ cm/s}$
Work Step by Step
Identify the given:
$\theta=\frac{1}{3} $
$t=20 \text{ s}$
$r=5\text{ cm}$
Solve for the angular speed using the formula$\omega=\frac{\theta}{t}$ to obtain:
$$\omega=\frac{\frac{1}{3}\text{ radians}}{20\text{ s}}=\frac{1}{60}\text{ rad/s}$$
Solve for the linear speed using the formula $v=r\omega$ to obtain:
$$v=5\text{ cm}\times\frac{1}{60}\text{ rad/s}=\frac{1}{12}\text{ cm/s}$$
