## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\omega=\frac{1}{60}\text{ rad/s}$ $v=\frac{1}{12} \text{ cm/s}$
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: $$v=5\text{ cm}\times\frac{1}{60}\text{ rad/s}=\frac{1}{12}\text{ cm/s}$$