Solve each problem. See Examples 1–3. Angular and Linear Speeds of Earth...

Solve each problem. See Examples 1–3.

Angular and Linear Speeds of Earth The orbit of Earth about the sun is almost circular. Assume that the orbit is a circle with radius 93,000,000 mi. Its angular and linear speeds are used in designing solar-power facilities.

(a) Assume that a year is 365 days, and find the angle formed by Earth’s movement in one day.

(b) Give the angular speed in radians per hour.

(c) Find the linear speed of Earth in miles per hour.