What is a 100% incline in Tour de France?

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The discussion centers around the concept of incline percentages in cycling, particularly in the context of mountain stages in the Tour de France. A 10% incline means an increase in height of 10 centimeters for every meter traveled horizontally, while a 100% incline represents a 45-degree angle, where the slope becomes visually deceptive as it appears flat until very close. Inclines are categorized based on their steepness, length, and difficulty, with "HC" (Hors Catégorie) indicating climbs that are exceptionally challenging. The conversation also touches on the theoretical implications of extreme inclines, noting that a 200% incline would correspond to a steep angle of approximately 63.4 degrees, but such gradients are impractical in cycling. The concept of verticality is discussed, emphasizing that it cannot be assigned a finite incline value, as anything beyond a certain steepness becomes irrelevant for cyclists.
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I'm watching Tour de France these days, and I hear people talking about mountain stages etc, and they often say that this and that road has an incline of let's say 10 %...what does that mean? How steep is that?!
 
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I think they refer to the gradient, so, say, a slope of \frac{3}{4} is 75% incline.
 
A 10% incline would mean you increase in height 10cm for every meter you travel.
 
Both correct; 100% is a 'one in one' incline, or 45 degrees. (1:8 is 12.5% etc).
 
Great, thanks guys!
 
Have you ever seen a 100% incline ? It is really inclined :biggrin:
I mean, realize the following : with a 100% incline, you will not see the road until your distance to the beginning of the slope equal the height of your eyes. Even two meters from the beginning of the slope, it looks like there is no road at all. Quite scary.
 
Also, inclines are catogorized into 5 or so catgories. I believe the lower the number the harder the incline. Is this right?
 
And then "HC" is the hardest since it is "beyond categories."
 
Technically, climbs are rated by category. The length, number, and steepness of inclines involved in a long climb all go into deciding which category the climb belongs in. A particularly long incline with no breaks could result in a climb being rated in a tougher category than one with several very steep, but short inclines.
 
  • #10
would 200% be straight vertical then?
 
  • #11
No, 200% incline would be a gradient of 2, corresponding to an angle of arctan(2), or about 63.4 degrees.
 
  • #12
Vertical cannot be assigned a finite value here. It would be "infinitely steep" somehow.
 
  • #13
Vertical is not an incline, the closest to it would be technically indefinite I suppose, or more realistically depend on the slope.

For all intents and purposes in cycling a slope beyond a certain gradient would be irrelevant as it would be impossible for anyone to even attempt to traverse it.

I'd imagine 200% doesn't even exist in cycling, as that would be absurd unless it was a BMX jump :smile: or a bump in the road.
 
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  • #14
humanino said:
Have you ever seen a 100% incline ? It is really inclined :biggrin:
I mean, realize the following : with a 100% incline, you will not see the road until your distance to the beginning of the slope equal the height of your eyes. Even two meters from the beginning of the slope, it looks like there is no road at all. Quite scary.
Ah. Took me a while to visualize this.

You're talking about being at the top of the incline looking down.
 
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