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The figure below represents the motion of a periodic wave the Y axis represents the amount of displacement in meters as a function of time in the X axis in milliseconds if the speed of this wave is 80 mm/s what are the (a) amplitude (b) period and (c) wavelength of this wave ?

The figure below represents the motion of a periodic wave the Y axis represents the amount of displacement in meters as a function of time in the X axis in milliseconds if the speed of this wave is 80 mm/s what are the (a) amplitude (b) period and (c) wavelength of this wave ?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 69P
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The figure below represents the motion of a periodic wave the Y axis represents the amount of displacement in meters as a function of time in the X axis in milliseconds if the speed of this wave is 80 mm/s what are the (a) amplitude (b) period and (c) wavelength of this wave ?
**Understanding Wave Motion** In this section, we will explore the characteristics of wave motion crucial to many fields of science and engineering. **Graph Illustration:** The image depicts a sinusoidal wave, which is a graphical representation of periodic oscillations. Here’s a detailed breakdown of the graph: 1. **X-Axis (Time, t in ms):** This axis represents time in milliseconds (ms). Key points marked along the axis are 0, 0.5, 1.5, 2.5, 3.5, and 4.5 ms. 2. **Y-Axis (Displacement):** This represents the displacement or amplitude of the wave. The values range from -1 to +1, with key positions being -1, 0, and +1 units. 3. **Wave:** The wave starts at a displacement of 0 at t=0 ms, reaches a maximum positive displacement of +1 at about t=0.5 ms, crosses back through zero at t=1.5 ms, to a minimum displacement of -1 at t=2.5 ms, and returns again to zero at t=4.5 ms, indicating one complete cycle or wavelength of the wave. **Points of Analysis:** - **Amplitude (A):** This is the maximum displacement of the wave from its equilibrium position. In this graph, the amplitude is 1 unit. - **Period (T):** The period is the time taken for one complete cycle of the wave. Here, the wave completes a full cycle from t=0 to t=4.5 ms. - **Wavelength (λ):** In terms of spatial waves, this would be the distance over which the wave's shape repeats. For temporal waves like this, it relates to the period. **Questions to Consider:** - What are the (a) amplitude, (b) period, and (c) wavelength of this wave? - With the given speed of the wave as 90 mm/s, how can we determine the frequency? These fundamental properties help us understand and predict the behavior of waves in various mediums and scenarios, from sound waves in the air to electromagnetic waves in the vacuum. Understanding these basics is vital for studying more complex phenomena in physics.
Transcribed Image Text:**Understanding Wave Motion** In this section, we will explore the characteristics of wave motion crucial to many fields of science and engineering. **Graph Illustration:** The image depicts a sinusoidal wave, which is a graphical representation of periodic oscillations. Here’s a detailed breakdown of the graph: 1. **X-Axis (Time, t in ms):** This axis represents time in milliseconds (ms). Key points marked along the axis are 0, 0.5, 1.5, 2.5, 3.5, and 4.5 ms. 2. **Y-Axis (Displacement):** This represents the displacement or amplitude of the wave. The values range from -1 to +1, with key positions being -1, 0, and +1 units. 3. **Wave:** The wave starts at a displacement of 0 at t=0 ms, reaches a maximum positive displacement of +1 at about t=0.5 ms, crosses back through zero at t=1.5 ms, to a minimum displacement of -1 at t=2.5 ms, and returns again to zero at t=4.5 ms, indicating one complete cycle or wavelength of the wave. **Points of Analysis:** - **Amplitude (A):** This is the maximum displacement of the wave from its equilibrium position. In this graph, the amplitude is 1 unit. - **Period (T):** The period is the time taken for one complete cycle of the wave. Here, the wave completes a full cycle from t=0 to t=4.5 ms. - **Wavelength (λ):** In terms of spatial waves, this would be the distance over which the wave's shape repeats. For temporal waves like this, it relates to the period. **Questions to Consider:** - What are the (a) amplitude, (b) period, and (c) wavelength of this wave? - With the given speed of the wave as 90 mm/s, how can we determine the frequency? These fundamental properties help us understand and predict the behavior of waves in various mediums and scenarios, from sound waves in the air to electromagnetic waves in the vacuum. Understanding these basics is vital for studying more complex phenomena in physics.
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