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l = slope length α = angle of inclination. The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the elevation angle of that surface to the horizontal or its tangent. It is a special case of the slope, where zero indicates horizontality. A ...
1 in 11.8 (8.5%) Stuttgart light rail system, Germany: Steepest gradient in Alexanderstraße on the southern part of line U15. [7] 1 in 12.5 (8%) Hakone Tozan Line, Japan: 1 in 12.5 (8%) Trieste-Opicina tramway: Mixed adhesion and rope-hauled operation. The maximum gradient on adhesion is 8% between Vetta Scorcola and Cologna stops.
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Typically on straight road sections, the drainage gradient is at least 1–3% due to the normal cross slope of 1–3%. In curved sections the drainage gradient is higher, and may often reach 5–12% due to superelevated CS that may reach 5–8% in areas with icy roads and up to 12% in areas without icy roads.
To compensate for this, the gradient should be a little less steep the sharper the curve is; the necessary grade reduction is assumed to be given by a simple formula such as 0.04 per cent per "degree of curve", the latter being a measure of curve sharpness used in the United States. On a 10-degree curve (radius 573.7 feet) the grade would thus ...
In areas that receive significant snow and ice, most agencies use a maximum cross slope of 6 to 8%. While steeper cross slope makes it difficult to traverse the slope at low speed when the surface is icy, and when accelerating from zero with warm tyres on the ice, lower cross slope increases the risk of loss-of-control at high speeds ...
8 %: Maximum gradient: 13 %: The Côte de Trieu (in French) or Knokteberg (in Dutch) is a hill in the municipality of Mont-de-l'Enclus, in the Belgian province of ...
Grade (angle), a unit for the measurement of plane angles Grade (ring theory), a cohomological invariant in commutative algebra Graded (mathematics), with several meanings ...