Chapter 1.3, Problem 175E

[T] As a point P moves around a circle, the measure of the angle changes. The measure of how fast the angle is changing is called angular speed, $\omega$, and is given by $\omega =\theta /t$. where $\theta$ is in radians and t is time. Find the angular speed for die given data. Round to the nearest thousandth. a. $\theta =\frac{7\pi }{4}\text{rad,}\text{t=10}\text{sec}$ b. $\theta =\frac{3\pi }{5}\text{rad,}\text{t=8}\text{sec}$ c. $\theta =\frac{2\pi }{9}\text{rad,}\text{t=1}\min$ d. $\theta =23.76\text{rad,}\text{t=14}\min$