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A child’s top is spinning with its axis making an angle of 27◦ with respect to the vertical. Its center of gravity is 12. 3 cm from its tip, its mass is 227 grams, and its moment of inertia is 10302. 8 g cm² . It is observed to precess 1. 26 times per second. The acceleration of gravity is 9. 8 m/s² . How fast is it spinning? Answer in units of rad/s.