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where L is lift force, p is air density, v is true airspeed
And we don't care about the others, the foil.
(someone paid me for this. sorry work)
The normal range of the Earth's air pressure is from 980 millibars (mb) to 1050 mb.
Using this calculator I'll come up with some extreme situations.
http://www.brisbanehotairballooning.com.au/faqs/education/116-calculate-air-density.htmlA) High pressure 1050, in winter @ 5 degrees = 1.3155 kg/m3
B) low pressure 980, in summer @ 40 degrees = 1.0905 kg/m3
Unlikely to happen I imagine, but let's go with them as scenario A and B.
disclaimer: I never did maths. correct me where I'm wrong (probably everywhere)
0.5 * 1.3155 * ...
what the hell is "true airspeed" in? Knots? I'm going to have to assume knots...
v = 20 knots.
scenario A = 0.5 * 1.3155 * 20^2 = 263 wind strengths (?)
scenario B = 0.5 * 1.0905 * 20^2 = 218 wind strengths
That's a 20% difference!
Given a more realistic pair of scenarios:A) Low pressure 980, in winter @ 5 degrees = 1.2278 kg/m3
B) High pressure 1050, in summer @ 40 degrees = 1.1684 kg/m3
Gives us
scenario A = 0.5 * 1.2278 * 20^2 = 245 wind strengths
scenario B = 0.5 * 1.1684 * 20^2 = 233 wind strengths
A 5% difference.Which is the difference between a 6.5 and a 6.8 sail!!! Noticeable!!!
Yay maths! (I know it's probably wrong)