Conservation of Angular Momentum in a Rotating System

AI Thread Summary
The discussion centers on a physics problem involving a rotating turntable and a blob of clay, focusing on the conservation of angular momentum. Participants clarify that the moment of inertia is crucial for calculating the system's new angular speed after the clay is added. The initial angular momentum of the turntable must equal the final angular momentum of the combined system to find the resulting angular speed. There is confusion regarding the relationship between angular speed and moment of inertia, emphasizing the need for understanding these concepts in rotational dynamics. The conversation highlights the importance of applying conservation laws to solve problems involving rotating systems.
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Homework Statement



A circular turntable of mass 2.0 kg and radius 6.0 inches is rotating freely at 66 2/3 rpm. If a 500 gram blob of clay is dropped on the disk at a distance of 4.0 inches from the center, what is the resulting angular speed of the system? Treat the clay as a point mass (I = MR^2) and the turntable as a disk.

Homework Equations

The Attempt at a Solution


I understand the resulting angular speed will be the sum of the two. But what does moment of inertia have to do with it??
 
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What do you mean about the angular speed being the sum of the two? Doesn't sound right.
What relevant conservation law do you know?
 

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