#### Answer

The angular speed of the propeller is 523.6 rad/s

#### Work Step by Step

The propeller rotates through an angle of $2\pi$ radians 5000 times each minute. We can find the angular speed of the propeller:
$\omega = \frac{\theta}{t}$
$\omega = \frac{(2\pi~rad)(5000)}{60~s}$
$\omega = 523.6~rad/s$
The angular speed of the propeller is 523.6 rad/s