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I am working on a prototype and I have a question that I am not sure how to answer, thus the reason I am here.

I have a piece of 4" pipe that I will vertically mount and I am reducing down to 1". Inside the tubing I have a racquetball. I am going to be sending air through the pipe and I want to know how to calculate at what flow rates the ball will float on the air and how high the ball will go.

I know the inside diameter of the pipe is 4" and the ball is 2.25". I am guessing I will need the weight of the ball, but I don't know of an equation that will tell me the following: 1.) How much air is required to lift the ball inside of the pipe? and 2.) How high the ball with varying amounts of air passing through the tube?

Can anyone help me with this? Any help is greatly appreciated.

Thank you,

BenB8691