Tuesday, October 26

Conics

Describe and comment about one real life conic section application. Read the comments of your classmates.

14 comments:

  1. A real life example of a conic section application is the paths of the planets around the sun are ellipses with the sun at one focus.

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  3. If you throw any object its path has the form of a parabola. The vertex is the highest point that the object reaches.

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  4. The electromagnetic spectrum uses different wavelengthed parabolas that change over intervals depending on which form of energy it is. Whether it be in the ultraviolet , visible or infrared spectrum

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  5. The light that shines out of a flashlight is an example of a parabola. The light that shines closests to the flashlight would be the vertex.

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  6. An example of a real life conic section application is a solar oven that uses parabolic mirrors to converge light beams for heating.

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  7. Throwing a boomerang is an example of a parobla because when thrown to when it returns it creates the shape of a parabola.

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  8. An exaple of Ellipses being used in the real world are race track designs that help designers take into account top speeds depending on shape of the track.

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  9. The ellipse has an important property that is used in the reflection of light and sound waves. The principle is also used in the construction of "whispering galleries" such as in St. Paul's Cathedral in London. If a person whispers near one focus, he can be heard at the other focus, although he cannot be heard at many places in between.

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  10. The nose of an airplane is a parabola to make the plane more equally aerodynamic on all sides, with the nose of the plane being the vertex

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  11. An example of an ellipse is the solar system: the way the planets revolve around the sun.

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  12. A real life example of a hyperbola is if you shine a flashlight against a wall with the axis of the flashlight parallel to the wall, the light will make a hyperbola.

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  13. The orbit of the moon around the earth is a perfect circle. This causes the tides of the oceans to change evenly everyday.

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  14. The intersection of a right circular cone and a plane, which generates one of a group of plane curves, including the circle, ellipse, hyperbola, and parabola.

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