Calculating Vertical Acceleration from Centripital enduced movement

[sl235]

Hi,

I was unsure how to describe what I wanted using words alone so I created a GIF to help.

Or view here - http://makeagif.com/i/k7rF6T

I am pretty unschooled in the world of physics so please forgive my lack of understanding.

Firstly, the force that would cause the ball to move to the top of the structure is centripetal force correct?

As the ball moves upwards through the Y axis, according to Newtons Third Law, as the ball moves upwards it is creating an equal force downwards?

How would the force generated by the movement of the ball through the Y plane be calculated?

Thanks

 

[sl235]

Just for clarity, assume the ball has a hole in the center and has the freedom to move up or down the arm as the speed of the rotation increases/decreases.