12. (15 points) IK Pegasi A is a star that currently has a mass of 3.28 x 10³?kg and a radius of R = 1.02 x 10?m. It is currently rotating with a period of rotation of 21.724 days. When it runs out of fuel, it is predicted to collapse to form a neutron star with a radius approximately equal to 20 km. Assuming no mass losses or friction losses, determine the period of rotation of the neutron star that is formed after this star collapses.
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Given: Radius 1 (r1) = 1.02 x 10^9 m Radius 2 (r2) = 20 x 10^3 m Calculate: (r2/r1)^2 (r2/r1)^2 = (20 x 10^3 / 1.02 x 10^9)^2 (r2/r1)^2 = (0.0000196078)^2 (r2/r1)^2 = 3.843 x 10^-10 Show more…
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