If the iron core of a dying star initially spins with a rotation frequency of ?0 = 3.20 rad/s, and if the cores radius decreases during the collapse by a factor of 22.7, what is the angular velocity of the iron core at the end of the collapse, (assuming that the iron core is a uniform sphere before collapse and is a uniform sphere after collapse

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If the iron core of a dying star initially spins with a rotation frequency of ?0 = 3.20 rad/s, and if the cores radius decreases during the collapse by a factor of 22.7, what is the angular velocity of the iron core at the end of the collapse, (assuming that the iron core is a uniform sphere before collapse and is a uniform sphere after collapse)?  Use the fact that the rotational inertia of a rotating sphere is given by:

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