Name:
Date:
23.1 Harmonic Motion Graphs
23.1
A graph can be used to show the amplitude and period of an object in harmonic motion. An example of a graph
of a pendulums motion is shown below.
The distance to which the pendulum moves away from its center point is call the amplitude. The amplitude of a
pendulum can be measured in units of length (centimeters or meters) or in degrees. On a graph, the amplitude is
the distance from the x-axis to the highest point of the graph. The pendulum shown above moves 20 centimeters
to each side of its center position, so its amplitude is 20 centimeters.
The period is the time for the pendulum to make one complete cycle. It is the time from one peak to the next on
the graph. On the graph above, one peak occurs at 1.5 seconds, and the next peak occurs at 3.0 seconds. The
period is 3.0 1.5 = 1.5 seconds.
1.
Use the graphs to answer the following questions
a.
What is the amplitude of each vibration?
b.
What is the period of each vibration?