The rate at which a nebular cloud rotates increases as the cloud collapses to form systems of stars and planets. Consider a small segment of a nebular cloud with a mass of1.91027kg,mof1.91027kg, tangential velocity initialvinitial equal to 6.8km s16.8km s1 located at an orbital distance initial=2.5104km.rinitial=2.5104km. After the cloud collapses, the same small segment is located at an orbital distance final=3.2103km.rfinal=3.2103km. Calculate the change of the rotational velocity, ,, for the cloud segment, assuming perfectly circular orbits. Perform your work and report your solution using two significantfigures.

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