(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Write out expressions for the rotational speed (at the equator) and rotational period of an object mass M and radius R that is spinning at the break up velocity.

2. Relevant equations

[tex]F= mg[/tex]

[tex]F = m \omega^2 r[/tex]

[tex]g = \frac{mG}{r^2}[/tex]

3. The attempt at a solution

So i know that for something to be "flung" off the spining mass, the centrifugal acceleration would need to be greater than the gravitational acceleration.

So i just set them equal to each other, and solve for omega...

which is...

[tex]\sqrt{\frac{mg}{r^3}} < \omega[/tex]

And for the rotation period...

[tex]p < \frac{2\pi}{\sqrt{\frac{mG}{r^3}}} [/tex]

Is this correct?

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# Homework Help: Astrophysics rotational break up velocity

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