Circular Motion Problem: Downy Ball in Rotating Washing Machine

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SUMMARY

The discussion centers on the dynamics of a Downy ball modeled as a sealed spherical shell in a washing machine, rotating with constant angular velocity. The problem involves determining the position of an air bubble within the ball after the washing machine starts spinning, specifically whether it moves closer to or further from the center of the washing machine. Key equations referenced include the pressure equation P = Po + DVh, which relates to the fluid dynamics within the sphere. The participants seek clarity on the mechanics of the Downy ball's movement and the definition of the "center of the dryer."

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Homework Statement


A Downy ball which can be modeled as a sealed, spherical shell of diameter d is rotating with constant angular velocity in a clothes washing machine. Assume that the Downy ball is confined circular path that undergoes no rotations in a plane perpendicular to the angular momentum vector. The sphere is nearly filled with a fluid having uniform densityρ, and also contains one small bubble of air at atmospheric pressure. Your answer should be a function of variables and constants. Assume that the diameter of the sphere is d and the radius of motion is R.
a)The bubble has an initial position directly above the center of the sphere. Where is the bubble, relative to its original position, after the washing machine starts to spin? (Is it closer to the center of the washing machine or further away)

Homework Equations


P = Po + DVh


The Attempt at a Solution



Honestly, I'm not quite sure how to set up this problem. I need help.
 
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What the heck is a Downey Ball, and how does it move in the dryer and in this question specifically? Is it a ball that is pulled part-way up the cylinder of the dryer by the rotation of the cylinder? And what is meant by the "center of the dryer"? Does that mean the axis of rotation of the dryer drum, or the left-right position of the horizontal center of the dryer?
 

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