Effect of centrifigual force on a gavity bound object

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The discussion explores the relationship between the density of a spinning sphere and the degree of shrinkage of its minor axis. It is noted that the elasticity of the sphere significantly influences this relationship, with faster spinning leading to decreased density and proportional shrinkage of the minor axis. The conversation clarifies that gravity's role is minimal since the sphere is gravity-bound, resulting in an ellipsoidal shape. A denser object exhibits less flattening at a given rotation rate due to stronger gravitational forces. The participants express uncertainty about the exact extent of these effects, particularly in the context of neutron stars.
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is there a relation between the density of a sphere spinning at a given rate and the degree by which the minor axis shrinks?
if there is a relation, what is it.
thanks a lot
 
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That will depend very much on the elasticity of the sphere.
 
The faster the sphere spins, the less dense the sphere is. It seems to be proportional to the length of the minor axis.
 
assuming though that i have two spheres made of the same material, would the differing densities make a difference?
also, i think that pixel you misunderstood. i realize that as it spins it should get more dense as the volume is shrinking, but that is not my question.
 
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I don't think gravity has much to do with it. its a GRAVITY bound sphere. it would form an ellipsoid. the denser the object the stronger the gravity so yes for any given rotation rate the degree of flattening will be less.


i presume this is about the neutron star you mentioned in your other post.
 
i realized that this would happen. i just do not know by how much.
 

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