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

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

3. 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.

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

5. Rotation of a rigid object rotating around a fixed axis.

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

7. 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.

8. 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.