By Avery Fiore
In Logger Pro, I plotted two sets of points, the blue representing the center of the hula hoop, and the brown representing the point on the edge of the hula hoop where the purple meets the green. The camera does move slightly, but when the video begins, I used the width of one of the tiles along the hula hoop's path, represented by the green line, as my measuring scale (the tile is 30 cm wide).
(Unfortunately, while using Logger Pro, though I believe I clicked in the correct place, Logger Pro recorded some really strange X and Y values for the Hula Hoop's center that were clear outliers and did not make sense. I believe it is some bug with Logger Pro. They have been marked with a strikethrough. Because this data was not reliable, there is nothing in those rows for other calculated columns.)
Angular Position (rad), Velocity (rad/s), and Acceleration (rad/s^2) vs. Time (s)
Horizontal Position (m), Velocity (m/s), and Acceleration (m/s^2) vs. Time (s)
Vertical Position (m), Velocity (m/s), and Acceleration (m/s^2) vs. Time (s)
Rotational Kinetic Energy (J), Translational Kinetic Energy (J), Gravitational Potential Energy (J), and Total Energy (J) vs. Time (s)
Linear Momentum (kg m/s) and Angular Momentum (kg m^2/s) vs. Time (s)
A few of the graphs have a decreasing harmonic kind of motion but that is not a type of graph Logger Pro can find a fit for. A pattern across most of the graphs seemed to be that at around 3 seconds the hula hoop starts sticking to the ground. This makes the translational velocity and angular velocity become constant, which also affects the translational position graph, angular position graph, Kinetic energy graphs, and the momentum graphs.