Uniform Circular Motion

  • Object travels in a circular path at constant speed

  • Distance around the circle is its circumference

    • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image164.png
  • Average speed formula from kinematics still applies

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Frequency

  • Frequency is the number of revolutions or cycles which occur each second

  • Symbol is f

  • Units are 1/s, or Hertz (Hz)

  • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image166.png

Period

  • Period is the time it takes for one complete revolution, or cycle.

  • Symbol is T

  • Unites are seconds (s)

  • T = time for 1 cycle = time for 1 revolution

Frequency and Period

  • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image167.png

  • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image168.png

Centripetal Acceleration

  • Is an object undergoing UCM accelerating?

    C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image169.png

    لسكم»اسهc هه

  • Magnitude of Centripetal Acceleration

    • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image171.png

Centripetal Force

  • If an object is traveling in a circle it is accelerating toward the center of the circle

  • For an object to accelerate, there must be a net force

  • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image172.png

  • C:\25225E85\B09A51C6-0574-4A0C-A2C1-496768C10C63_files\image173.png

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