Conservation of Angular Momentum in Molecular Cloud Collapse

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SUMMARY

The discussion focuses on the conservation of angular momentum during the collapse of a molecular cloud measuring 0.2 light years across, which rotates once every 1.4 × 107 years. The key equation used is angular momentum (l = mvr), where mass (m) remains constant during collapse. The radius (r) was calculated to be approximately 9.4605284 × 1014 meters. The conclusion emphasizes that the mass of the Sun (1.99 × 1030 kg) is not necessary for calculating the angular momentum before collapse, as it remains unchanged.

PREREQUISITES
  • Understanding of angular momentum (l = mvr)
  • Familiarity with molecular cloud dynamics
  • Basic knowledge of astrophysics and stellar formation
  • Ability to perform unit conversions (light years to meters)
NEXT STEPS
  • Research the implications of angular momentum conservation in astrophysical phenomena
  • Explore the dynamics of molecular cloud collapse and star formation
  • Learn about the methods for calculating rotational speeds in astrophysics
  • Investigate the role of mass distribution in the formation of celestial bodies
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the mechanics of star formation and molecular cloud dynamics will benefit from this discussion.

Meganwright
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Homework Statement



A molecular cloud 0.2 light years across rotates once every 1.4 ×107 years. If it were to collapse to the size of our Sun, how long would it take to rotate once if it conserved angular momentum given by mvr, where m is mass, v is the circular rotation speed and r is the radius. Is this reasonable in this case?

Homework Equations



l=mvr

The Attempt at a Solution


the suns rotation is approx 26.8 days
the radius i worked out to be 0.1 x 9.4605284 × 10^15 metres = 9.4605284 x 10^14 metres
rotation= 1.4 x 10 ^7 years
do i also use the mass of the sun?
in which case m=1.99 x 10^30 kg?

then sub into
l=mvr ?
 
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You don't care about the mass or the rotation rate of the Sun. On collapse, the mass will be the same as the original cloud.
What is the angular momentum of the cloud before collapse? (I don't know whether you're supposed to assume a ball or a disc.)
 

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