Collapsing sun, new average rotation

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SUMMARY

The discussion centers on the implications of the sun collapsing to the size of the Earth, specifically its effect on the sun's rotational period. Currently, the sun rotates once every 30 days. If the sun's diameter reduces to approximately 1/100 of its original size, the conservation of angular momentum dictates that the new rotational period will decrease significantly. Participants emphasize the need to apply conservation laws to determine the new rotational period accurately.

PREREQUISITES
  • Understanding of angular momentum conservation
  • Basic knowledge of rotational dynamics
  • Familiarity with the concept of diameter and radius in astrophysics
  • Ability to apply mathematical equations related to circular motion
NEXT STEPS
  • Research the principles of conservation of angular momentum in astrophysical contexts
  • Study the mathematical derivation of rotational periods in celestial bodies
  • Explore the effects of mass distribution on rotation rates
  • Learn about the physical implications of stellar collapse and its consequences
USEFUL FOR

Astronomy students, astrophysicists, and educators interested in stellar dynamics and the effects of mass changes on rotational behavior.

physics123456
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Homework Statement


the sun collapses to the size of the Earth (approximately 1/100 the original diameter), The current average rotation of the sun is approximately 30 days.

Homework Equations


what would be the new rotational period (time to spin once)?

The Attempt at a Solution


I know that in 30 days, the sun has to travel a distance of 2pi. But I don't understand how that would change if the sun had a smaller diameter...that's where I am confused.
 
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physics123456 said:

Homework Statement


the sun collapses to the size of the Earth (approximately 1/100 the original diameter), The current average rotation of the sun is approximately 30 days.

Homework Equations


what would be the new rotational period (time to spin once)?

The Attempt at a Solution


I know that in 30 days, the sun has to travel a distance of 2pi. But I don't understand how that would change if the sun had a smaller diameter...that's where I am confused.
What conservation law might be useful? (You'll need to make some assumption about the way it collapses, e.g. that every part of it is it one hundredth of its previous radius.)
 

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