1. Rotation of Objects About a Single Axis
ENGAGE
Rotation of Objects About a Single Axis
Prepared by: Sheryl Sorby, Ph.D.
Amy Hamlin, Ph.D.
Norma Veurink

2. Rotation of Objects about 1 Axis
Rotations
Right Hand Rule
Arrow Coding
Single Rotation
Multiple Rotations
Equivalent Rotations
Computer Module

3. Object Transformations: Rotation
A rotation is a turning of an object about a straight line known as the axis of rotation.
To visualize a rotation, imagine a door turning about its hinges. The axis of rotation is a line passing through the hinges.
The portion of the object that lies along the axis of rotation before rotation remains on the axis of rotation through the rotation.

4. Direction of Rotation
A rotation about an axis can be either positive (counterclockwise) or negative (clockwise)

5. Right Hand Rule
If you place the thumb of your right hand down the axis of rotation, your fingers will curl in the direction of the rotation

6. Arrow Coding Object Rotations can be designated by arrow coding
An arrow to the right is a positive rotation
An arrow to the left is a negative rotation
The axis for the rotation is designated at the right end of the arrow
The increment for the rotation is always 90o X

8. For each of the following slides, try to visualize the rotation

9. Y

15. Object Transformations: Rotation
For multiple rotations about the same axis, use an arrow for each rotation of 90°. X
Positive 180° rotation about the x-axis X Y
Negative 270° rotation about the y-axis Y Y

17. Object Transformations: Rotation
Sometimes one set of rotations can be replaced by a simpler set. Y
is equivalent to Y Y Y

19. Demonstration Y Z X Y

20. In-Class Exercise When finished with this exercise, begin working through the Rotations about a Single Axis exercises on the course software Y X Z Z Y Z X X

21. Rotation of Objects about a Single Axis Homework …
Complete the following pages in Module 7
rot1-
1 - 2
5 - 6
9 - 10