The rate at which a nebular cloud rotates increases as the cloudcollapses to form systems of stars and planets. Consider a smallsegment of a nebular cloud with a mass ? of 1.9×1027 kg, tangentialvelocity ?initial equal to 6.8 km s−1 located at an orbitaldistance ?initial=2.5×104 km. After the cloud collapses, the samesmall segment is located at an orbital distance ?final=3.2×103 km.Calculate the change of the rotational velocity, Δ?, for the cloudsegment, assuming perfectly circular orbits. Perform your work andreport your solution using two significant figures.
