Collapsing sun, new average rotation

AI Thread Summary
The discussion centers on calculating the new rotational period of the sun if it collapses to the size of Earth, reducing its diameter to approximately 1/100 of its original size. The current average rotation period of the sun is about 30 days, and the challenge lies in understanding how this period changes with the decrease in diameter. Participants suggest considering conservation laws, particularly angular momentum, to determine the new rotation rate. The confusion arises from the relationship between diameter reduction and the rotational dynamics of the sun. Ultimately, the key focus is on applying the principles of physics to find the new rotational period post-collapse.
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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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