The earth's radius is about 4000 miles. kampala, the capital of uganda, and singapore are both nearly on the equator. the distance between them is 5000 miles. the flight from kampala to singapore takes 9.0 hours. what is the plane's angular velocity with respect to the earth's surface? give your answer in °/h.
The solution is:
Earth circumference is 2*pi*r=25,130 miles
25,130 miles corresponds to 360Âş, so 5,000 miles corresponds to 360*5000/25130 = 71,6Âş
71,6Âş is equivalent to 71,6*2pi/360=1,25 radians
Angular velocity is 1,25/9=0,139 rad/h
