Application OF Conic Section IN REAL-LIFE PDF

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Application of Conic Section in Real life (Circle, Parabola, Ellipse, and Hyperbola)...

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Application of Conic Section in Real-Life

Circle

Clocks are really useful and important because they help us keep time. Before, we used a sun dial to tell time but now we have the clock. The clock has always taken the form of a circle. The middle of the clock is the “center” of the circle and the hands are the “radius”.

Car tires are a good example of a circular conic section because they have to be exactly round or the car will not run correctly. The tires and wheels being circles is useful and important because without that, car rides would be very bumpy and uncomfortable.

Guangzhou Circle is a landmark building completed in 2013, which is located on the edge of the Pearl River, Guangdong province, in China. The iconic building was designed by the Italian architect Joseph Di Pasquale, he uses the formula of circle on this landmark and the design concept was inspired by jade disc. Parabola

The Eiffel Tower is known worldwide to be in the form of parabola. The middle of the tower can be seen as the “Axis of Symmetry” because that is where the middle of the tower is. The bottom part of the Eiffel Tower can be interpreted as a negative parabola because it opens down. The Eiffel Tower was built and designed this way so it could support the wind and so it would be more stable.

The properties of the parabola make it the ideal shape for the reflector of an automobile headlight. When the headlights are turned on, the light takes shape in a parabolic manner and it shines in front of the car while moving. The headlights are in the form of a parabola and they also have a vertex (the starting point) and the focus (the point of the light that leads the rest).

The parabola is the form taken by the path of any object thrown in the air, and the mathematical curve used by engineers in designing some structures. Roller coasters are a good example of parabolas because they curve in one direction. It is useful for roller coasters to have this conic shape because it gives the riders the anticipation of climbing up a hill, reaching the peak, and coasting down at high speeds. Ellipse

The ellipse plays an important part in astronomy. Early astronomers believed planets orbited in a perfectly circular pattern, but Johannes Kepler proved that they follow an elliptical orbit and later used the properties of ellipses to create a set of laws about the universe. Using these laws, along with the mathematics of ellipses, astronomers can predict the arrival of comets, planetary orbit and other physical laws.

In Belarus, Russia the use planes with ellipse wings. They say it has a few benefits comparing to the simple one or double winged planes, like the wing can be less in size, it’s more firm because the ellipse form is self sustaining, also there are now air vortexes by the sides of the wings which gives up to 30% increase in power compared to the traditional planes.

The Qualcomm Field which is the stadium of the Sandiego Charges is in the form of ellipse. The formula of an ellipse was most likely used in the construction of the stadium. Most all sports arenas are made in an elliptical shape in order to seat as many people as possible around a rectangular field. Hyperbola

The hyperboloid is the design standard for all nuclear cooling towers. It is structurally sound and can be built with straight steel beams. The engineers uses the hyperbolic form to build a nuclear power plant that is able to withstand high winds and can be built with as little material as possible. For a given diameter and height of a tower and a given strength, this shape requires less material than any other form.

A hour glass is an example of a hyperbola because in the middle of the glass on both sides, the glass comes in with an arch. The hyperbolas in an hour glass are useful because before we had clocks they were used to tell when an hour had passed.

In the field of architecture, there are many buildings and statues that take the form of conics. In the architecture of the James S Mcdonnell Planetarium, a hyperbola is formed. In the middle, you can clearly see the box that is formed when the points are created. The asymptotes extend to the sides....