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Earth takes about 365 days to orbit once around the sun. Mercury, the innermost planet, takes less than a fourth of this time to complete one revolution. Suppose some mysterious force causes Earth to experience an average angular acceleration of 6.05 × 10-13 rad/s2, so that after 12.0 days its angular orbital speed is the same as that of Mercury. Calculate this angular speed and the period of one orbit.

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