1 / 8

Applications of Hyperbolic Functions

Applications of Hyperbolic Functions. Greg Kelly, Hanford High School, Richland, Washington. A hanging cable makes a shape called a catenary. Even though it looks like a parabola, it is not a parabola!. (for some constant a ). Length of curve calculation:.

aiverson
Download Presentation

Applications of Hyperbolic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Applications of Hyperbolic Functions Greg Kelly, Hanford High School, Richland, Washington

  2. A hanging cable makes a shape called a catenary. Even though it looks like a parabola, it is not a parabola! (for some constant a) Length of curve calculation:

  3. Another example of a catenary is the Gateway Arch in St. Louis, Missouri.

  4. Another example of a catenary is the Gateway Arch in St. Louis, Missouri.

  5. If air resistance is proportional to the square of velocity: y is the distance the object falls in t seconds. A and B are constants.

  6. A third application is the tractrix. (pursuit curve) An example of a real-life situation that can be modeled by a tractrix equation is a semi-truck turning a corner. semi-truck Another example is a boat attached to a rope being pulled by a person walking along the shore. boat

  7. A third application is the tractrix. (pursuit curve) a Both of these situations (and others) can be modeled by: semi-truck a boat

  8. The word tractrix comes from the Latin tractus, which means “to draw, pull or tow”. (Our familiar word “tractor” comes from the same root.) Other examples of a tractrix curve include a heat-seeking missile homing in on a moving airplane, and a dog leaving the front porch and chasing person running on the sidewalk. p

More Related