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## Homework Statement

In a water vortex formed in a plastic bottle, what is the relationship between the angular speed of the water and the diameter of the hole in the cap? I would have expected that according to the conservation of angular momentum, the smaller the hole the faster the water speed (L = r x p). However, I've been trying to test this relationship out but seem to get that the larger the hole the faster the water goes.

## Homework Equations

L = r x p = I \omega