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 m of 1.9 x 1027 kg, tangential velocity vinitial equal to 6.8 km s- located at an orbital distance rinitial = 2.5 x 104 km. After the cloud collapses, the same small segment is located at an orbital distance rfinal = 3.2 x 10 km. Calculate the change of the rotational velocity, Am, for the cloud segment, assuming perfectly circular orbits. Perform your work and report your solution using two significant figures. Δω- rad s-!

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.17P
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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 m of 1.9 x 102' kg, tangential velocity vinitial equal to 6.8 km s located at an orbital
distance rinitial = 2.5 x 104 km. After the cloud collapses, the same small segment is located at an orbital distance
rfinal = 3.2 x 10³ km. Calculate the change of the rotational velocity, Aw, for the cloud segment, assuming perfectly circular
orbits. Perform your work and report your solution using two significant figures.
Δω
rad s-1
Transcribed Image Text: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 m of 1.9 x 102' kg, tangential velocity vinitial equal to 6.8 km s located at an orbital distance rinitial = 2.5 x 104 km. After the cloud collapses, the same small segment is located at an orbital distance rfinal = 3.2 x 10³ km. Calculate the change of the rotational velocity, Aw, for the cloud segment, assuming perfectly circular orbits. Perform your work and report your solution using two significant figures. Δω rad s-1
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