Calculate New RPM: Spinning Rate of 4g Bug on 12g Disk with 30cm Radius

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SUMMARY

The discussion focuses on calculating the new RPM of a disk when a 4g bug walks from the center to the edge of a 30cm radius disk, initially spinning at 21 RPM. The conservation of angular momentum is applied, considering the moments of inertia of both the disk and the bug. The total moment of inertia for the system is the sum of the disk's moment of inertia and the bug's moment of inertia. This approach leads to determining the new spinning rate of the disk after the bug reaches the edge.

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A bug that has a mass mb = 4 g walks from the center to the edge of a disk that is freely turning at 21 rpm. The disk has a mass of md = 12 g. If the radius of the disk is R = 30 cm, what is the new rate of spinning in rpm?

Can I have some help please?
 
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Try using conservation of anugular momentum. Also remember that moments of inertia add, so the moment of the inertia for your system is the moment of disk + moment of bug.
 

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