What does rotation look like in a graph? Consider the graph below, excerpted from a book series by Schottenbauer Publishing.
- How many rotations are shown on the graph?
- Identify the time segments of each of the rotations.
- What is the length of the time of each rotation?
- Describe each rotation in terms of degrees or radians of rotation in the x, y, and z axes.
- [Advanced Question] Describe each rotation in terms of angular coordinates.
- What is the angular velocity of each rotation?
- What would the graph look like if the skateboard were rotated the opposite direction around the center axis? Sketch the graphs.
- What would the graph look like if the skateboard were rotated around the other two axes? Sketch the graphs.