Answer
$\omega = 7.17\times 10^{-4}~rad/hr$
Work Step by Step
The earth moves through an angle of $2\pi$ radians in 365 days. We can find the angle formed by the earth's movement in one day:
$\theta = \frac{2\pi~rad}{365~days}$
$\theta = 0.0172~radians$ per day
The angle formed by the earth's movement in one day is 0.0172 radians.
We can find the angular speed:
$\omega = \frac{\theta}{24~hrs}$
$\omega = \frac{0.0172~rad}{24~hrs}$
$\omega = 7.17\times 10^{-4}~rad/hr$
