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Conic Sections: The Hyperbola. Examples from the Real World. Dulles Airport Dulles Airport, designed by Eero Saarinen, is in the shape of a hyperbolic paraboloid . The hyperbolic paraboloid is a three- dimensional curve that is a hyperbola in one cross-section, and
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Conic Sections: The Hyperbola Examples from the Real World
Dulles Airport Dulles Airport, designed by Eero Saarinen, is in theshape of a hyperbolic paraboloid. The hyperbolic paraboloid is a three- dimensionalcurve that is a hyperbola in one cross-section, and a parabola in another cross section.
Lampshade A household lamp casts hyperbolic shadows on a wall.
Gear transmission Two hyperboloids of revolution can provide gear transmission between two skew axes. The cogs of each gear are a set of generating straight lines.
Sonic Boom In 1953, a pilot flew over an Air Force Baseflying faster than the speed of sound. He damaged every building on the base. As the plane moves faster than the speed of sound, you get a cone-like wave.Where the cone intersects the ground, it is an hyperbola. The sonic boom hits every point on that curve at the same time. No sound is heard outside the curve. The hyperbola is known as the "Sonic Boom Curve."
Cooling Towers of Nuclear Reactors The hyperboloid is the design standard for all nuclearcooling towers. It is structurally sound and can be built with straight steel beams.When designing these cooling towers, engineers are faced with two problems:(1) the structutre must be able to withstand high winds and (2) they should be built with as little material as possible.The hyperbolic form solves both of these problems. For a given diameter and height of a tower and a given strength, this shape requires less material than any other form. A 500 foot tower can be made of a reinforced concrete shell only six or eight inches wide. See the pictures below (this nuclear power plant is located in Indiana).
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