In topography, the slope of a hill, mountain, road or anything else inclined, is more often referred to as its grade (or, sometimes in the US and usually in the UK, gradient).
There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is: [edit] Algebra
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| angle |
tangent |
sineSlope of a road, etc.
There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is:
[edit] Algebra
|
| 0° |
0% |
0% |
| 5° |
9% |
9% |
| 10° |
18% |
17% |
| 30° |
58% |
50% |
| 45° |
100% |
71%Slope of a road, etc.
There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is:
[edit] Algebra
|
| 60° |
173% |
87% |
| 90° |
∞ |
100% |
There are three common ways to describe how steep a road, etc., is: by the angle in degrees or, in two ways, by the Slope of a road, etc. There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is:
[edit] Algebraslope as a percentage.
The usual mathematical definition is:
- the tangent of the angle of inclination - the ratio of the altitude change to the horizontal distance between any two points on the grade
However, an alternative definition is:
- the sine of this angle - the ratio of the altitude change to the surface length between any two points on the grade.
The difference between the two is small for gentle slopes (see small-angle formula). The ambiguities and the small differences that result may permit these two inconsistent approaches to coexist unrecognized, especially where all grades considered are subject to engineering upper limits of 15% or less.
Many of the mathematical prSlope of a road, etc. There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is:
[edit] Algebrainciples of slope, that follow from the definition, are applicable in topographic practice. Grade is usually expressed as a percentage. Expressing it as the angle from horizontal carries the same information, but may lead to confusion for readers who are not proficient in trigonometry: they may confuse degree with percent, and/or not know how to do the conversion. In the UK, for road signs, maps and construction work the slope or gradient is often expressed as a ratio such as 1 in 12, or as a percentage[1].
In vehicular engineering, various land-based designs (cars, SUVs, trucks, trains, etc.) are rated for their ability to ascend the slope of terrain. (Trains typically rate much lower than cars.) The highest grade which a vehicle can ascend while maintaining a pSlope of a road, etc. There are two common ways to describe how steep a road is. One is by the angle in degrees, and the other is by the slope in a percentage. See also mountain railway. The formula for converting a slope in percentage to degrees is:
[edit] Algebraarticular speed is sometimes termed that vehicle's "gradeability" (or, less often, "grade ability") at that speed.
See also
