1 - The article did not take observed boat speeds and work backwards to make a correction fit. ...
So how was this correction factor derived ?
To me it still sounds like adjusting the gravitational constant to have the formula for falling speed reflect the true speed of a bag of feathers better.
Wouter
Once again, by looking at the hull shape and characterizing beam to length ratios, displacement, perhaps prizmatic coefficient... I don't have the exact formula used in this case, but I do remember that they did not work backwords. But I have seen other approaches that use the displacement of the hull, and again, this is because it is known (as you have also stated) that narrow hull forms and those of lighter displacement can break out of the wave system without planing. ULDB monos are another case in point (although they may also plane). So again, they're not trying to make the wave system faster. They're trying to characterize the speeds of the boats.
And checking your numbers back against real data can help refine your approach as long you don't get into the "for a Hobie-18 use this factor, for a Taipan 4.9 use this other factor" trap. If you find from emperical testing that the calculations are more correct for light displacement boats of a certain LWL range if a certain factor is used, then that's ok.
And yes, because it takes something that worked for a specific case based on a certain principle and tries to make it reflect something else you can argue the merits of it. I think when you're out of the wave trap and still displacement that displacement, prizmatic coefficient, and water line length will act to determine a ballpark theoretical speed for the hull. So this actually may be useful even though it no longer holds to the principle it started with. Do I have all the numbers? Nope. But I also know that just because a Hobie 16 can do more than the speed indicated by the traditional hull speed formula does not mean it is on plane. And this may just be a good way to get a ballpark estimate, although it doesn't work in the traditional wave theory sense.
Note that I say ballpark - because any of these basic formulas take no real life things into account. It's strictly the hull in the water. Nothing about how efficient the rig is, upwind or downwind, how ungodly huge the wind resistance of the cabin structure is, how far the boat is heeled, or how many cheeseburgers the crew has snarfed in the last 12 hours.
Go back to the days of old when racing design formulas would restrict waterline length at rest. Large over hangs front and rear dramatically increased the waterline length when the boat was heeled.
If it's ballpark does it matter? To some people. At least they can have a better explanation as why cat hulls are not constrained by the usual thinking on displacement hulls. If I had a dime for every time somebody told me my cat was fast because it planed... Another explanation - multihulls are fast because you multiply the waterline length by the numbers of hulls, and thus the equation almost works again. I have to remind them that the boat should then slow dramatically when you fly a hull...
Anyway, good discussion, and yes we'll be debating this again soon. With respect to the original question of whether the V40 can do 40 knots. I suspect somebody came up with a theoretical max for the hull form of around 40 mph, and somebody turned that into knots because it sounded good that a V40 could do 40, and nautical types like to talk knots, donchano. The fact that the boats will never actually achieve that in real life doesn't matter unless they put the boats into speed trials...