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Physics: fictitious forces

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A plumb bob does not hang exactly along a line directed to the center of the Earth's rotation. How much does the plumb bob deviate from a radial line at 39.0° north latitude? Assume that the Earth is spherical.

This was in my textbook with an angle of 35 instead of 39 and the answer was it deviated .0928 degrees...I can't seem to get the right answer! :(

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