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Carrying capacity is also optimal at a width of 3.0 to 3.1 metres (9.8 to 10.2 ft), both for motor traffic and for bicycles. [8] Throughput is maximal at 18 miles per hour (29 km/h); as lane width decreases to 3.0 to 3.1 metres (9.8 to 10.2 ft), traffic speed diminishes, and so does the interval between vehicles. [8] [9]
Where degree of curvature is based on 100 units of arc length, the conversion between degree of curvature and radius is Dr = 18000/π ≈ 5729.57795, where D is degree and r is radius. Since rail routes have very large radii, they are laid out in chords, as the difference to the arc is inconsequential; this made work easier before electronic ...
90-foot (27.43 m) radii on the elevated 4 ft 8 + 1 ⁄ 2 in (1,435 mm) standard gauge Chicago 'L'. There is no room for longer radii at this cross junction in the northwest corner of the Loop . The minimum railway curve radius is the shortest allowable design radius for the centerline of railway tracks under a particular set of conditions.
An ultrasound showing an embryo measured to have a crown-rump length of 1.67 cm and estimated to have a gestational age of 8 weeks and 1 day. Crown-rump length (CRL) is the measurement of the length of human embryos and fetuses from the top of the head (crown) to the bottom of the buttocks (rump).
Köhler theory combines the Kelvin effect, which describes the change in vapor pressure due to a curved surface, with Raoult's Law, which relates the vapor pressure to the solute concentration. [1] [2] [3] It was initially published in 1936 by Hilding Köhler, Professor of Meteorology in the Uppsala University.
Shows the sign of geodesic curvature. In the mathematical field of differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature of a surface to its underlying topology. In the simplest application, the case of a triangle on a plane, the sum of its angles is 180 degrees. [1]
In geometry, the sagitta (sometimes abbreviated as sag [1]) of a circular arc is the distance from the midpoint of the arc to the midpoint of its chord. [2] It is used extensively in architecture when calculating the arc necessary to span a certain height and distance and also in optics where it is used to find the depth of a spherical mirror ...
The arc length of one branch between x = x 1 and x = x 2 is a ln y 1 / y 2 . The area between the tractrix and its asymptote is π a 2 / 2 , which can be found using integration or Mamikon's theorem. The envelope of the normals of the tractrix (that is, the evolute of the tractrix) is the catenary (or chain curve) given by y = a ...