60? 60. When some stars use up their fuel, they undergo a catastrophic explosion

Question

60? 60. When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of the star?s mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 2.0 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day. of the expanding supernova shell when its radius is 4.0 R. Assume that all of the star?s original mass is contained in the shell.

Explanation / Answer

Since the net external torque is zero, hence angular momentum will be conserved.

therefore, Li = Lf

or, I1w1 = I2w2

w2 =  (I1w1)/ I2

=(R12w1)/R22 = 1/8 rev / day

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