The earth\'s radius is about 4000 miles. Kampala, the capitalof Uganda, and Sing

Question

The earth's radius is about 4000 miles. Kampala, the capitalof Uganda, and Singapore are both nearly on the equator. Thedistance between them is 5000 miles. a.Through what angle do you turn, relative tothe earth, if you fly from Kampala to Singapore? Give your answerin degrees. b.Now give your answer in radians. c.The flight from Kampala to Singapore takes9 hours. What is the plane's angular velocity relative to theearth? The earth's radius is about 4000 miles. Kampala, the capitalof Uganda, and Singapore are both nearly on the equator. Thedistance between them is 5000 miles. a.Through what angle do you turn, relative tothe earth, if you fly from Kampala to Singapore? Give your answerin degrees. b.Now give your answer in radians. c.The flight from Kampala to Singapore takes9 hours. What is the plane's angular velocity relative to theearth? a.Through what angle do you turn, relative tothe earth, if you fly from Kampala to Singapore? Give your answerin degrees. b.Now give your answer in radians. c.The flight from Kampala to Singapore takes9 hours. What is the plane's angular velocity relative to theearth?

Explanation / Answer

   distance covered = 5000 miles radius of earth = 4000 km (a) so, angle traversed = 360 * L/2rdegrees = 71.62 degrees (b) angle = 2 * L/2r radians= 1.25 radians    (c) angular velocity = angle / time = 3.858*10-5 rad/s

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