ModelCourses/Trigonometry/MoreApplications: Difference between revisions

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= More Application of Trig Functions =
= More Application of Trig Functions =
* Various applications now can be more complicated to read and involve degrees, radians, use of inverse trig functions, "incomplete" data, etc.
* Angle of elevation and angle of depression
**
* Distance and Bearing
** Two ships
* Arc length
** Given angle in radians, determine length of arc (ala satellite distance traveled)
** Given angle in degrees, determine length of arc
** Given arc length and radius, determine angle
** Arc length traveled over a certain amount of time.
* Area of Circular Sector
** Given angle and radius, determine area of sector (ala lawn sprinkler or windshield wiper)
** Given area and radius, determine angle
* Velocities
** Angular velocity (ala grandfather clock)
** Fixed angular velocity related to linear velocity for different radii
** Linear velocity (ala satellite speed or various diameter bicycle wheels)
*** Bicycle wheel/gears would be a nice place to use an interactive app...
** Nice app dealing with linear velocity of persons at various latitudes
** RPMs for fan blades or lawnmower blades or propellers given angular velocity in some form.


[[ModelCourses/Trigonometry]]
[[ModelCourses/Trigonometry]]
[[Category:Model_Courses]]

Latest revision as of 14:28, 22 June 2021

More Application of Trig Functions

  • Angle of elevation and angle of depression
  • Distance and Bearing
    • Two ships
  • Arc length
    • Given angle in radians, determine length of arc (ala satellite distance traveled)
    • Given angle in degrees, determine length of arc
    • Given arc length and radius, determine angle
    • Arc length traveled over a certain amount of time.
  • Area of Circular Sector
    • Given angle and radius, determine area of sector (ala lawn sprinkler or windshield wiper)
    • Given area and radius, determine angle
  • Velocities
    • Angular velocity (ala grandfather clock)
    • Fixed angular velocity related to linear velocity for different radii
    • Linear velocity (ala satellite speed or various diameter bicycle wheels)
      • Bicycle wheel/gears would be a nice place to use an interactive app...
    • Nice app dealing with linear velocity of persons at various latitudes
    • RPMs for fan blades or lawnmower blades or propellers given angular velocity in some form.

ModelCourses/Trigonometry