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Rotational Motion of an Object. Physics Matters: Chapter 7. Rotational Motion. All Spinning Objects Axis of Rotation The line about which everything rotates. Speed of Rotation Period of rotation The time of a single complete rotation ( T) Frequency of rotation

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Rotational motion of an object l.jpg

Rotational Motion of an Object

Physics Matters: Chapter 7


Rotational motion l.jpg
Rotational Motion

  • All Spinning Objects

  • Axis of Rotation

    • The line about which everything rotates.

  • Speed of Rotation

    • Period of rotation

      • The time of a single complete rotation (T)

    • Frequency of rotation

      • The number of cycles completed in a given time (f = hertz)

  • Period = 1/Frequency or Frequency = 1/Period

  • T= 1/f f=1/T


Spinning l.jpg
Spinning

  • Angular speed

    •  = s/r ( is measured in radians)

  • For 360 degreed, s = 2r

    • 3600 = 2 radians

  • Angular speed = 2f


  • Torque l.jpg
    Torque

    • Tangential force being applied times the perpendicular distance from the axis of rotation

      •  = Ftr


    Angular momentum l.jpg
    Angular Momentum

    • Moment of inertia

      • In general, the farther away a mass is from the axis the greater its moment of inertia is.

      • I = kmr2


    Angular momentum cont l.jpg
    Angular Momentum (Cont.)

    • Momentum of inertia times angular speed

      • L = I 

    • Conservation of Angular momentum

    • Direction of Rotation

      • The right hand rule


    Center of gravity center of mass l.jpg

    Center of GravityCenter of Mass

    "All of science is nothing more than the refinement of everyday thinking."-- Albert Einstein


    Center of gravity l.jpg
    Center of Gravity

    • Point of an object located at the average position of weight.


    Center of mass l.jpg
    Center of Mass

    • The Average position of matter


    Toppling l.jpg
    Toppling

    • Toppling occurs when the center of gravity extends beyond the support base.


    Stability l.jpg
    Stability

    • Unstable – CG is lowered with displacement

    • Stable – work must be done to raise the CG

    • Neutral – displacement neither raises or lowers the CG


    Objects rotate around their center of gravity l.jpg

    Objects rotate around their center of gravity.

    Let’s try some activities!!


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