New Angular Velocity of Star with Diameter Shrink to 0.17 Times

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In summary, the problem involves a star with a mass of 1.1e31 kg and an initial angular velocity of 1.40×10-7 rad/s. Its diameter suddenly shrinks to 0.17 times its original size with a uniform mass distribution before and after. The question is asking for the new angular velocity and the conservation of a certain quantity must be considered to solve the problem.
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Naldo6
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The mass of a star is 1.1e31 kg and its angular velocity is 1.40×10-7 rad/s. Find its new angular velocity if the diameter suddenly shrinks to 0.17 times its present size. Assume a uniform mass distribution before and after. [Icm for a solid sphere of uniform density is 2/5 mr^2].


Can anyone helps me please?... i don't know hoyw to begin this exercise...
 
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  • #2
Hi Naldo6,

Naldo6 said:
The mass of a star is 1.1e31 kg and its angular velocity is 1.40×10-7 rad/s. Find its new angular velocity if the diameter suddenly shrinks to 0.17 times its present size. Assume a uniform mass distribution before and after. [Icm for a solid sphere of uniform density is 2/5 mr^2].


Can anyone helps me please?... i don't know hoyw to begin this exercise...

What quantity would be conserved in this process?
 
  • #3
can u solve me this problem?...
 
  • #4
Naldo6 said:
can u solve me this problem?...

I'm sorry Naldo, but forum rules here prohibit doing someone else's homework for them. If I were to just solve the problem for you the multitude of homework helpers and mentors would unite and rise against me and crush me like a worm.

So instead of that, think of what quantity would be conserved here. There should only be a few conserved quantities that you have studied: energy, momentum, etc. What other conservation equation have you studied, that applies here? Once you have determined that, you can use that to write an equation that will help you solve the problem.
 

FAQ: New Angular Velocity of Star with Diameter Shrink to 0.17 Times

What is the significance of a star's diameter shrinking to 0.17 times its original size?

The diameter of a star is directly related to its mass and luminosity. A shrinking diameter could indicate a decrease in mass, and thus a decrease in the star's overall brightness. This could potentially have implications for the star's lifespan and evolution.

How does a star's angular velocity change when its diameter shrinks to 0.17 times?

According to the law of conservation of angular momentum, a star's angular velocity will increase as its diameter decreases. This is because the star's total mass remains constant, but its moment of inertia decreases as its diameter decreases. Therefore, in order to maintain its angular momentum, the star must rotate faster.

Can a star's diameter shrink to 0.17 times without any external factors?

It is unlikely that a star's diameter would shrink to exactly 0.17 times its original size without any external factors. Stars are constantly undergoing nuclear fusion, which generates energy and maintains their size. A decrease in size could be caused by factors such as mass loss due to stellar winds or interactions with other stars.

How would a star's temperature be affected by a diameter shrinkage to 0.17 times?

A star's temperature is directly related to its size and luminosity. As the star's diameter shrinks, its surface area decreases, and thus its overall luminosity decreases. This would cause the star to become cooler, as less energy is being generated through nuclear fusion. However, it is important to note that other factors, such as changes in the star's composition, could also affect its temperature.

Is it possible for a star to return to its original size after its diameter has shrunk to 0.17 times?

It is possible for a star to increase in size again after its diameter has shrunk, but it would require some external factor to increase its mass. This could happen through accretion of material from a companion star or a collision with another object. However, it is also possible for the star to continue shrinking if the external factors causing the shrinkage persist.

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