A uniform, spherical cloud of interstellar gas has mass 2.0×1030 kg and radius 1.2×1013 m , and is rotating with period 1.3×106 years. If the cloud collapses to form a star 6.9×108 m in radius, what will be the star's rotation period?
moment of inertia of sphere
I=(2/5)mr2
By Conservation of angular momentum
I1W1 = I2W2
(2/5)mr12 (2pi/T1)=(2/5)mr22 (2pi/T2)
T2=T1(r2/r1)2
T22 =(6.9*108/1.2*1013)2 (1.3*106)
T2=4.3*10-3 years
or in days
T=4.3*10-3*365=1.5688 days
A uniform, spherical cloud of interstellar gas has mass 2.0×1030 kg and radius 1.2×1013 m ,...
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