Hyperbolas - PowerPoint PPT Presentation

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Hyperbolas

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Radio waves. Nature, e.g. Water ripples. Conic Sections ... This is how hyperbolic radio navigation systems were created. Ripples ... – PowerPoint PPT presentation

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Title: Hyperbolas


1
Hyperbolas
  • By Selina, Ellen and Emma

2
Introduction
  • Hyperbolas can be found in
  • Astrophysics, e.g. Comet Paths
  • Gear design
  • Navigation
  • Telescopic lenses
  • Aerodynamics
  • Power plants
  • Radio waves
  • Nature, e.g. Water ripples

3
Conic Sections
  • Hyperbolas are one of four kinds of conic
    sections.
  • All heavenly bodies move in conic sections
    ellipses, parabolas, hyperbolas and circles.

4
Comet Paths
  • Most comets travel around the Sun in elliptical
    or open-ended parabolic and hyperbolic orbits.
  • This means that they can appear anywhere
    in the sky.

5
Sonic BOOMS!
  • When a plane goes at the speed of sound it
    creates a sonic boom shock wave in the shape of a
    cone.
  • As it hits the ground it is intersected at 180
    degrees forming a hyperbola.

6
Radio waves and Navigation
  • Radio waves and hyperbolas can be used in
    navigation.
  • If the centre of each circle gives out a radio
    signal then the signals will intersect each other
    in hyperbolas.
  • This is how hyperbolic radio navigation systems
    were created.

7
Ripples
This type of intersection can be seen in
nature. Next time you are near a pond throw two
pebbles into it next to each other and watch the
ripples. Where the circular waves intersect a
hyperbola is formed.
8
So what is a hyperbola?
  • A hyperbola is a conic intersection with the
    following equation.

9
Conclusion
  • So now you know!
  • Go have a look around for hyperbolas wherever you
    can yourselves!
  • Keep an eye out!
  • Thanks for listening
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