Calculate the angle between the gravitational force and gravity vectors at the surface of the earth as a function of lattitude
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An object at any latitude L will feel two forces:the force of gravity,pointing downward,and the centrifugal force of the earth's rotation,which will be in the plane of th equator.First calculate the C.F. At the equator.The angle will be verticle,of course,butuou can use the force in what follow .Now ,at latitude L,Resolve the C.F. into verticleand horizontal component ;add the verticle component to the force of gravity,and take the arc tangent of the component.
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