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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?

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Sound Waves
Section: Chapter Questions
Problem 17.55AP: An ultrasonic tape measure uses frequencies above 20 MHz to determine dimensions of structures such...
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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?
### Understanding Waveforms: Sinusoidal Wave Representation #### Graph Description: The provided graph represents a sinusoidal wave, commonly seen in physics and engineering, particularly in the study of oscillations and waves. #### Axes Explained: - **Horizontal Axis (x-position in meters)**: This axis represents the position along the wave's horizontal direction. It is measured in meters (m) and ranges from 0 to 6 in this graph. - **Vertical Axis (y-position in meters)**: This axis indicates the position along the wave's vertical direction, also measured in meters (m). It ranges from -2 to 2. #### Wave Characteristics: - **Sinusoidal Nature**: The wave shown in the graph is sinusoidal, meaning it follows a regular, repeating pattern that is sine or cosine in shape. - **Crest and Trough**: - The **crests** of the wave (highest points) are located at approximately x = 1 and x = 5, with a peak y-position of 2 meters. - The **troughs** (lowest points) are at approximately x = 3, with a lowest y-position of -2 meters. - **Amplitude**: The maximum displacement from the center line (y = 0) to a crest or a trough is 2 meters. This value represents the amplitude of the wave. - **Wavelength**: The distance between two successive crests or troughs; this appears to be 4 meters (distance from x = 1 to x = 5 for two consecutive crests). #### Summary: This graph is a classical depiction of a sinusoidal wave, illustrating fundamental wave properties such as amplitude and wavelength. Understanding this representation is key in fields such as acoustics, electromagnetics, and mechanical vibrations. For more in-depth study, explore topics like wave interference, harmonic oscillation, and Fourier analysis.
Transcribed Image Text:### Understanding Waveforms: Sinusoidal Wave Representation #### Graph Description: The provided graph represents a sinusoidal wave, commonly seen in physics and engineering, particularly in the study of oscillations and waves. #### Axes Explained: - **Horizontal Axis (x-position in meters)**: This axis represents the position along the wave's horizontal direction. It is measured in meters (m) and ranges from 0 to 6 in this graph. - **Vertical Axis (y-position in meters)**: This axis indicates the position along the wave's vertical direction, also measured in meters (m). It ranges from -2 to 2. #### Wave Characteristics: - **Sinusoidal Nature**: The wave shown in the graph is sinusoidal, meaning it follows a regular, repeating pattern that is sine or cosine in shape. - **Crest and Trough**: - The **crests** of the wave (highest points) are located at approximately x = 1 and x = 5, with a peak y-position of 2 meters. - The **troughs** (lowest points) are at approximately x = 3, with a lowest y-position of -2 meters. - **Amplitude**: The maximum displacement from the center line (y = 0) to a crest or a trough is 2 meters. This value represents the amplitude of the wave. - **Wavelength**: The distance between two successive crests or troughs; this appears to be 4 meters (distance from x = 1 to x = 5 for two consecutive crests). #### Summary: This graph is a classical depiction of a sinusoidal wave, illustrating fundamental wave properties such as amplitude and wavelength. Understanding this representation is key in fields such as acoustics, electromagnetics, and mechanical vibrations. For more in-depth study, explore topics like wave interference, harmonic oscillation, and Fourier analysis.
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