Answer
(a) $\frac{2\pi}{365}\ rad/day$
(b) $ \frac{\pi}{4380}\ rad/hr$
(c) $67,000\ mph$
Work Step by Step
(a) The Earth moves $2\pi$ radians in 365 days, thus $\omega=\frac{2\pi}{365}\ rad/day$
(b) $\omega=\frac{2\pi}{365}\ rad/day=\frac{2\pi}{365\times24}\ rad/hr=\frac{\pi}{4380}\ rad/hr$
(c) The linear speed of Earth is $v=r\omega=93,000,000\times\frac{\pi}{4380}\approx67,000\ mph$
