#### Answer

The angular speed of the Ferris wheel is $0.0698 ~rad/s$

#### Work Step by Step

The Ferris wheel rotates through an angle of $\frac{2\pi}{3}~rad$ in a time of 30 seconds. We can find the angular speed:
$\omega = \frac{\theta}{t}$
$\omega = \frac{\frac{2\pi}{3}~rad}{30~s}$
$\omega = 0.0698~rad/s$
The angular speed of the Ferris wheel is $0.0698 ~rad/s$