Question

A uniform, spherical cloud of interstellar gas has mass 2.2×10³⁰ kgkg and radius 1.2×10¹³ mm, and is rotating with period 1.5×10⁶ years.

Part A

If the cloud collapses to form a star 7.2×10⁸ mm in radius, what will be the star's rotation period?

Express your answer in days.

Answer 1

According to the condition given in question. The moment of inertia of the Sphere is Tsphere = mo? Apply conservation of angular momentum I; o; = If wof z mi w = 2 & mogle of werp = 6 w w =

TP = 17.2x108 15 YIO (1.2x103) (1.5x10") Tp = 5.4x16°years. If = 1.97 days