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Old 26th Aug 2009, 19:49
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asyncio
 
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OK, after fiddling around with various ways of doing this, I think I've come up with a way of explaining what I said above.

I'll use, v = airspeed, w = windspeed, t = time, d = distance, p = power.

Starting with the obvious t = d/v
Now power is related to fuel flow, so the time we have availble is proportional to fuel/power. So t = 1/p for one 'unit' of fuel

Putting them together gives d/v = 1/p, which becomes d = v/p
So for maximum d, we have to maximise v/p, or minimise p/v.
i.e. the usual tangent on the power/velocity graph.

Similarly, if we have a wind then t = d/(v+w)
So if we do the same as above we get, d/(v+w) = 1/p
then d = (v+w)/p

So we have to minimise p/(v+w), or in other words, you have to draw a tangent from the graph to -w on the speed axis.

I hope that's right, or I've completely misunderstood it as well

Last edited by asyncio; 26th Aug 2009 at 20:37.
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