The earth bulges slightly at the equator, due to the centrifugal force in the earth??s rotating frame.

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The earth bulges slightly at the equator, due to the centrifugal force in the earth??s rotating frame. Show that the height of a point on the earth (relative to a spherical earth), is given byimagewhere ? is the polar angle (the angle down from the north pole), and R is the radius of the earth.

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