A ten kilometer wind is a big thing, twenty is huge and forty is gigantic. It is because wind resistance is the biggest factor after road conditions on a cyclists' speed. Think about it, if I top out at 50kph on a flat surface and the wind is in my face, the wind would be going its speed plus my speed and if I am limited to 50kph wind resistance that would mean at 10kph wind velocity I would be going 40; at 20 kph wind, I would be going 30; at 40 kph wind I would be going 10 relative to the ground, but 50 kph relative to the air.
It is not a one to one relationship in speed as it is easier to go 10 kph than it is to go 20, but a head wind really slows you down.
A tail wind does the reverse, again it does not add to you speed but makes it easier to go faster and your upper speed limit is faster too.
Today I had a great ride. I was going fast and I was a strong rider. I was zipping past other cyclists and I was speeding beside cars, at one point I was even passing cars on flat road. I did not realize it but I had a twenty kilometer tail wind, when I stopped it was enough to cool me down, but when I was cycling I had more energy and I could go faster. I went faster; I felt freer.
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