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x (cm) 10.0 -10.0 5.0 10.0 15.0 t(s)

x (cm) 10.0 -10.0 5.0 10.0 15.0 t(s)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The displacement of an oscillating object as a function of time is shown in the figure.

  • What are the frequency, amplitude, angular frequency, and period?
The image displays a graph of a sinusoidal wave representing motion over time. The horizontal axis is labeled \( t \) (s), indicating time in seconds, with intervals at 0, 5.0, 10.0, and 15.0 seconds. The vertical axis is labeled \( x \) (cm), indicating displacement in centimeters, with values ranging from -10.0 cm to 10.0 cm. Key features of the graph: - The wave starts at the origin (0, 0), rises to a peak at approximately (2.5, 10.0), descends through the origin at (5.0, 0), continues to a trough at approximately (7.5, -10.0), and returns to the origin at (10.0, 0). - It then mirrors the initial pattern, rising again to another peak near (12.5, 10.0) and crossing the horizontal axis at (15.0, 0). - This graph illustrates periodic motion, resembling a simple harmonic motion. The period of the wave (the time for one complete cycle) is 10 seconds. - The amplitude, the maximum displacement from the equilibrium position, is 10.0 cm. This depiction serves as a common example in physics to illustrate oscillatory motion such as that of a pendulum or a mass-spring system.
Transcribed Image Text:The image displays a graph of a sinusoidal wave representing motion over time. The horizontal axis is labeled \( t \) (s), indicating time in seconds, with intervals at 0, 5.0, 10.0, and 15.0 seconds. The vertical axis is labeled \( x \) (cm), indicating displacement in centimeters, with values ranging from -10.0 cm to 10.0 cm. Key features of the graph: - The wave starts at the origin (0, 0), rises to a peak at approximately (2.5, 10.0), descends through the origin at (5.0, 0), continues to a trough at approximately (7.5, -10.0), and returns to the origin at (10.0, 0). - It then mirrors the initial pattern, rising again to another peak near (12.5, 10.0) and crossing the horizontal axis at (15.0, 0). - This graph illustrates periodic motion, resembling a simple harmonic motion. The period of the wave (the time for one complete cycle) is 10 seconds. - The amplitude, the maximum displacement from the equilibrium position, is 10.0 cm. This depiction serves as a common example in physics to illustrate oscillatory motion such as that of a pendulum or a mass-spring system.
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