hydroplane formula?

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I tried googling this but didn't get what I was hunting for. I can't remember the formula for the speed at which a tire will hydroplane at. It is close to something like this tire pressure x 7/9??? Is this correct? Maybe a 3 in the mix somewhere? Any help out there? Thanks.
 
for take off its 8.7 times the square root of the main wheel tire pressure, and for landing its 7.7 times the square root of the main wheel tire pressure
 
I've always heard 9x SQRT [tire pressure]. Is the difference in factor you heard between T/O and landing to account for less weight following fuel burn (and thus a lower minimum hydroplaning speed for a lighter aircraft) ?
 
8.6 is the official, but 9 gets you close.

I have never heard different figures for takeoff or landing however.
 
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