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#11
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audi and kaipola ski jump advertisiement - climbing an icy hill
In article et>,
"Tomes" > wrote: > "Alan Baker" > wrote in message > ... > > > And the explains the problem: > > > > " is hard to believe that, after quite literally scaling new heights, he > > has just parked his Atlas Grey Audi A6 4.2 quattro 47 metres off the > > ground at an angle of 37.5 degrees and that is approximately equivalent > > to an 80 percent gradient." > > > > 80%, not 80 degrees. > > > > In a given distance it rises 80% of that distance. > Tomes Yes. But the original poster said 80 *degrees*. He had clearly mistaken one for the other or heard about it from someone who'd been so mistaken. -- Alan Baker Vancouver, British Columbia "If you raise the ceiling 4 feet, move the fireplace from that wall to that wall, you'll still only get the full stereophonic effect if you sit in the bottom of that cupboard." |
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#12
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audi and kaipola ski jump advertisiement - climbing an icy hill
Tomes wrote:
> "Alan Baker" > wrote in message > ... > > >>And the explains the problem: >> >>" is hard to believe that, after quite literally scaling new heights, he >>has just parked his Atlas Grey Audi A6 4.2 quattro 47 metres off the >>ground at an angle of 37.5 degrees and that is approximately equivalent >>to an 80 percent gradient." >> >>80%, not 80 degrees. >> > > > In a given distance it rises 80% of that distance. > Tomes So how did they get 0.8 from 37.5 degrees? Is that the tangent of the slope angle? It is close numerically, but it doesnt sound right, as it can exceed 100%. Or is the sinus? That doesnt match numerically with 0.8. |
#13
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audi and kaipola ski jump advertisiement - climbing an icy hill
"223rem" > wrote in message news:uMnzf.715733$_o.133366@attbi_s71... > > So how did they get 0.8 from 37.5 degrees? > Is that the tangent of the slope angle? It is close numerically, but > it doesnt sound right, as it can exceed 100%. Or is the sinus? That > doesnt match numerically with 0.8. Your observation is correct, it's the tangent function. Gradient is the ratio of vertical elevation -vs- horisontal displacement, and with slopes greater than 45 degrees the vertical elevation goes up faster - hence it is possible for gradient to measure past 100% . For instance, the gradient of a ladder leaning against a wall can be several hundred %'s, and the gradient of an upright wall itself is as much as infinite... :-) Cheers! - Risto - |
#14
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audi and kaipola ski jump advertisiement - climbing an icy hill
Alan Baker wrote: > > In article >, > Erik-Jan Geniets > wrote: > > > 223rem wrote: > > > > > > Pooh Bear wrote: > > > > > > > > wrote: > > > > > > > > > > > >>I saw this advertisement from Audi on their second records on driving > > > >>up Kaipola ski jump in Finland. It was a rather impressive achievement > > > >>and photos. I could not believe that a car can climb a hill with slope > > > >>of 80 degrees, > > > > > > > > > > > > 37.5 degrees actually. > > > > > > I wonder if the AWD was really useful at that angle. RWD > > > should have been enough. > > > > At this angle, in terrain (no snow or ice) you will need grip. > > Without AWD or 4WD you will be left with a spinning (rear) wheel. > > Kind regards, > > Erik-Jan. > > You really should study physics a little... Why? We are talking about an angle of 37.5 degrees here which can be done with most 4x4's with low range T-case. On tarmac you will even succeed without spinning wheels. Kind regards, Erik-Jan. |
#15
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audi and kaipola ski jump advertisiement - climbing an icy hill
The message >
from "Risto Lankinen" > contains these words: > For instance, the gradient of a ladder leaning against a wall can be > several hundred %'s, and the gradient of an upright wall itself is as > much as infinite... :-) Or possibly even negative if your builder's had one too many for lunch. -- Skipweasel Si hoc legere scis nimium eruditionis habes. |
#16
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audi and kaipola ski jump advertisiement - climbing an icy hill
In article <uMnzf.715733$_o.133366@attbi_s71>, 223rem wrote:
>Tomes wrote: >> "Alan Baker" > wrote in message >> ... >> >> >>>And the explains the problem: >>> >>>" is hard to believe that, after quite literally scaling new heights, he >>>has just parked his Atlas Grey Audi A6 4.2 quattro 47 metres off the >>>ground at an angle of 37.5 degrees and that is approximately equivalent >>>to an 80 percent gradient." >>> >>>80%, not 80 degrees. >>> >> >> >> In a given distance it rises 80% of that distance. >> Tomes > >So how did they get 0.8 from 37.5 degrees? >Is that the tangent of the slope angle? It is close numerically, but >it doesnt sound right, as it can exceed 100%. Or is the sinus? That >doesnt match numerically with 0.8. Percentage, as written down on the warning traffic signs (e.g., http://www.signaco.si/znaki/nevarno/nevar15s.gif and http://www.signaco.si/znaki/nevarno/nevar16s.gif) is defined as the vertical distance ascended (or descended) versus the horizontal distance travelled, 100*b/a in the following diagram: /| / | c/ |b / | /____| a This is the tangens of the angle between sides c and a. The gradient is also given as 1:X, but this is just the fraction b/a written as 1a/b). Here's a table of some gradients in degrees and percentages, both rounded to 0 decimal places: deg | perc. =========== 90 | infinity 45 | 100 31 | 60 30 | 58 27 | 50 17 | 30 14 | 25 6 | 10 -- /"\ Jan Kalin (male, preferred languages: Slovene, English) \ / http://charm.zag.si/eng/, email: "name dot surname AT zag dot si" X ASCII ribbon campaign against HTML in mail and postings. / \ I'm a .signature virus. Copy me to help me spread. |
#17
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audi and kaipola ski jump advertisiement - climbing an icy hill
Pooh Bear, > was motivated to say
this in rec.autos.driving on Wed, 18 Jan 2006 01:41:37 +0000: > > 37.5 degrees actually. 38.66 degrees (assuming I did the trig right)... |
#19
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audi and kaipola ski jump advertisiement - climbing an icy hill
In article <uMnzf.715733$_o.133366@attbi_s71>,
223rem > wrote: > Tomes wrote: > > "Alan Baker" > wrote in message > > ... > > > > > >>And the explains the problem: > >> > >>" is hard to believe that, after quite literally scaling new heights, he > >>has just parked his Atlas Grey Audi A6 4.2 quattro 47 metres off the > >>ground at an angle of 37.5 degrees and that is approximately equivalent > >>to an 80 percent gradient." > >> > >>80%, not 80 degrees. > >> > > > > > > In a given distance it rises 80% of that distance. > > Tomes > > So how did they get 0.8 from 37.5 degrees? > Is that the tangent of the slope angle? It is close numerically, but > it doesnt sound right, as it can exceed 100%. Or is the sinus? That > doesnt match numerically with 0.8. A slope *can* exceed 100%, because yes, it is the tangent of the slope angle. A 45 degree slope is 100%. -- Alan Baker Vancouver, British Columbia "If you raise the ceiling 4 feet, move the fireplace from that wall to that wall, you'll still only get the full stereophonic effect if you sit in the bottom of that cupboard." |
#20
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audi and kaipola ski jump advertisiement - climbing an icy hill
In article >,
Erik-Jan Geniets > wrote: > Alan Baker wrote: > > > > In article >, > > Erik-Jan Geniets > wrote: > > > > > 223rem wrote: > > > > > > > > Pooh Bear wrote: > > > > > > > > > > wrote: > > > > > > > > > > > > > > >>I saw this advertisement from Audi on their second records on driving > > > > >>up Kaipola ski jump in Finland. It was a rather impressive achievement > > > > >>and photos. I could not believe that a car can climb a hill with slope > > > > >>of 80 degrees, > > > > > > > > > > > > > > > 37.5 degrees actually. > > > > > > > > I wonder if the AWD was really useful at that angle. RWD > > > > should have been enough. > > > > > > At this angle, in terrain (no snow or ice) you will need grip. > > > Without AWD or 4WD you will be left with a spinning (rear) wheel. > > > Kind regards, > > > Erik-Jan. > > > > You really should study physics a little... > > Why? We are talking about an angle of 37.5 degrees here which can be > done with most 4x4's with low range T-case. On tarmac you will even > succeed without spinning wheels. Your missing the point. At 37.5 degrees, almost the entire weight of the vehicle will be on the rear wheels. Take a wheelbase of 8' for example and assume a 50-50 weight distribution. If the centre of mass is located at 8/2 * 80% = 3.2 feet, then the entire weight of the vehicle would be on the rear wheels on a 80% or 37.5 degree slope. Hence the OP was suggesting that only RWD would be necessary. -- Alan Baker Vancouver, British Columbia "If you raise the ceiling 4 feet, move the fireplace from that wall to that wall, you'll still only get the full stereophonic effect if you sit in the bottom of that cupboard." |
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