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John340 said..
The sliding scale is correct. A summary of 4 days results from this year's trip to Lake George follow:
Date, Board, Sail, 2 Sec, Max Wind, Multiplier
3 Feb: Falcon 115, 7.7, 29 kts, 14 kts, 2.1
2 Feb, Falcon 97, 7.0, 34 kts, 20 kts, 1.7
4 Feb, Falcon 97, 6.2, 38 kts, 25 kts, 1.5
5 Feb, JP 80, 5.7, 40 kts, 30 kts, 1.3
Very approximately - take the square root of 55 * wind speed
It's interesting that it's reasonably close over a 2:1 range in wind speed. Wind
power force increases with the square of wind speed. Drag is a combination of square terms and semi-linear terms (skin drag, planing hull drag)
Although we all have experienced this, it feels mathematically counter-intuitive that the bigger gear, with more skin drag and lighter winds is more efficient.
I suspect the factor I've always overlooked is that the hydrodynamic drag terms are scaled to the board speed, while the aerodynamic drag terms are scaled to the
apparent speed, not measured wind speed! As the wind picks up and overall velocity increases, the aerodynamic drag forces increase significantly more than the hydrodynamic drag forces. This will be especially true for upwind courses vs. downwind courses.