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Density of an asteroid from revolution period

1. Homework Statement

The rotation period of a small asteroid is 10.21 revolutions per day. What is the minimum density for this object?


2. Homework Equations 3. The Attempt at a Solution


I should be able to use angular momentum right? I'm trying to do this by approximating the asteroid as a sphere and using the formula T = 2*pi*I /L and plan on finding the density from I, but I am stuck. Are there any relevant formulas you could point me to? Or any other hints you could give?
 
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