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a) Using the diagram below, determine the wavelength and amplitude of the sound wave below. b) If the wave speed was given as v = 340 m/s, what is the frequency (Hz) of this wave? c) Is the frequency in the audible range?

a) Using the diagram below, determine the wavelength and amplitude of the sound wave below. b) If the wave speed was given as v = 340 m/s, what is the frequency (Hz) of this wave? c) Is the frequency in the audible range?

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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a) Using the diagram below, determine the wavelength and amplitude of the sound wave below. b) If the wave speed was given as v = 340 m/s, what is the frequency (Hz) of this wave? c) Is the frequency in the audible range?
### Sinusoidal Wave Graph #### Graph Description: The provided graph represents a sinusoidal wave, a common representation in physics and engineering fields to depict cyclical phenomena such as sound waves, light waves, and other periodic functions. #### Axes: - **X-axis (Horizontal Axis):** - Label: x-position (m) - It measures the position along the x-axis in meters. - The x-axis values range from 0 to 6. - **Y-axis (Vertical Axis):** - Label: y-position (m) - It measures the position along the y-axis in meters. - The y-axis values range from -2 to 2. #### Wave Characteristics: - **Amplitude:** - The maximum y-value is 2 and the minimum y-value is -2. - The amplitude \( A \) of the wave is 2 meters, which is the maximum displacement from the equilibrium (central) position. - **Wavelength:** - The wavelength \( \lambda \) is the distance over which the wave's shape repeats. - By observing the graph, the wave completes one full cycle from \( x \) = 0 to \( x \) = 6. Hence, the wavelength is 6 meters. #### Key Points on the Wave: - At \( x \) = 0, y = 0 - At \( x \) = 1.5, the wave reaches its peak (y = 2). - At \( x \) = 3, y = 0 (crossing the x-axis). - At \( x \) = 4.5, the wave reaches its trough (y = -2). - At \( x \) = 6, y = 0 (completing one full cycle). This sinusoidal wave is symmetric about the x-axis and easy to recognize in its ascending and descending phases, typical for sine or cosine functions. Understanding the properties of such waveforms is crucial for applications across various scientific and engineering disciplines.
Transcribed Image Text:### Sinusoidal Wave Graph #### Graph Description: The provided graph represents a sinusoidal wave, a common representation in physics and engineering fields to depict cyclical phenomena such as sound waves, light waves, and other periodic functions. #### Axes: - **X-axis (Horizontal Axis):** - Label: x-position (m) - It measures the position along the x-axis in meters. - The x-axis values range from 0 to 6. - **Y-axis (Vertical Axis):** - Label: y-position (m) - It measures the position along the y-axis in meters. - The y-axis values range from -2 to 2. #### Wave Characteristics: - **Amplitude:** - The maximum y-value is 2 and the minimum y-value is -2. - The amplitude \( A \) of the wave is 2 meters, which is the maximum displacement from the equilibrium (central) position. - **Wavelength:** - The wavelength \( \lambda \) is the distance over which the wave's shape repeats. - By observing the graph, the wave completes one full cycle from \( x \) = 0 to \( x \) = 6. Hence, the wavelength is 6 meters. #### Key Points on the Wave: - At \( x \) = 0, y = 0 - At \( x \) = 1.5, the wave reaches its peak (y = 2). - At \( x \) = 3, y = 0 (crossing the x-axis). - At \( x \) = 4.5, the wave reaches its trough (y = -2). - At \( x \) = 6, y = 0 (completing one full cycle). This sinusoidal wave is symmetric about the x-axis and easy to recognize in its ascending and descending phases, typical for sine or cosine functions. Understanding the properties of such waveforms is crucial for applications across various scientific and engineering disciplines.
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