I assumed in the prior analysis that the initial angular velocity is small.
If the angular velocity of the initial condition is high then the initial
condition integration of angular momentum and energy also has to be outside
the boundary established by

   h = (w^2/2g) x R + h0

It is possible that in the initial condition all the water will be located
outside the radius of the hole, and thus no water can go down the hole at
all.

Regards,

Horace Heffner          


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