Rotation of a rigid object rotating around a fixed axis. Axis of Rotation Consider the rotating object below.

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Presentation transcript:

Rotation of a rigid object rotating around a fixed axis. Axis of Rotation Consider the rotating object below

Rotation of a rigid object rotating around a fixed axis. Consider the rotating object below

Rotation of a rigid object rotating around a fixed axis. Consider the rotating object below Notice that a particular point moves in a circle as the object rotates.

Rotation of a rigid object rotating around a fixed axis. Reference line How can we define the position of a particular point?

Rotation of a rigid object rotating around a fixed axis.

How can we define the position of a particular point? A Arc Length ( s ) Radius ( r )

Rotation of a rigid object rotating around a fixed axis. s1s1 r1r1 s2s2 r2r2 Purpose: To create graphical and mathematical representations of the relationship between the arc length and the radius for a particular reference line.

Rotation of a rigid object rotating around a fixed axis. A B C Purpose: To create graphical and mathematical representations of the relationship between the arc length and the radius for a particular reference line.