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Calculate spin angular momentum of Jupiter

Relevant Equations:

L = Iω

I = (2/5)*M*r^{2}(for a uniform sphere)

ω = (G*M/r^{3})^{1/2}(I calculated this earlier in the homework, but I've looked it up and I think it's right)

Attempt at a Solution:

I thought this should be pretty straight forward, but when I calculated Jupiter's rotational angular momentum, it was slightly off. I've narrowed it down to my angular velocity equation being incorrect; when I used the published value for Jupiter's angular velocity, I got the right angular momentum.

I then went back and checked the value for ω (.0005887 1/s) which correlated to a rotational period of around 3 hours, and that clearly isn't right. Does anyone have any idea where I'm going wrong here?

Additional Notes:

I got the equation for ω when I calculated the minimum rotation period of a star by equating the gravitational force and the centrifugal force. The homework asks if the period of a star (T=2∏/ω) differs from that of a planet, but I don't see why it should. I was thinking perhaps there was a difference I was missing and that's why my calculations weren't coming out as expected, but my ω for the sun is off too (I just didn't have the exact numbers to give you guys).

Thanks!

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# Angular Velocity and Spin/Orbital Angular Momentum of Jupiter

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