An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one revolution per million years. It now begins to collapse. Assuming that the mass remains constant, estimate the cloud's rotation period when it has shrunk to (a) the size of the solar nebula, 100 AU across, and (b) the size of Earth's orbit, 2 AU across. (answers: 0.016 revolutions per year, and an orbital period of 62.5 years, This is 40 revolutions per year, and an orbital period of 0.025 years, or just a little over 9 days)
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