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Part 1 - Wave Physics 1.500 1.000 0.500 0.000 -0.500 -1.000 -1.500 0 50 100 150 200 For the time-series signal shown above: A. What is the period? B. Determine the frequency. C. Can you compute the wavelength? 250 300 350 400 time in milliseconds (ms) 450 500 550 600 650 700 750 800 850

Part 1 - Wave Physics 1.500 1.000 0.500 0.000 -0.500 -1.000 -1.500 0 50 100 150 200 For the time-series signal shown above: A. What is the period? B. Determine the frequency. C. Can you compute the wavelength? 250 300 350 400 time in milliseconds (ms) 450 500 550 600 650 700 750 800 850

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### Part 1 - Wave Physics #### Time-Series Signal Analysis The time-series signal depicted in the graph above is a sinusoidal wave, which is characterized by its smooth, periodic oscillations. ![Wave Graph](wavegraph.png) ##### Graph Description: - **X-axis (Horizontal):** - Represents time in milliseconds (ms), ranging from 0 to 850 ms. - **Y-axis (Vertical):** - Represents the amplitude of the wave, ranging from -1.500 to 1.500. ##### Questions for Analysis: A. **What is the period?** - The period is the duration of time it takes for one complete cycle of the waveform to occur. B. **Determine the frequency.** - The frequency is the number of complete cycles that occur in one second. It is the reciprocal of the period. C. **Can you compute the wavelength?** - The wavelength is the physical length of one complete cycle of the wave, often calculated in meters for physical waves, but this will depend on the wave speed and period. D. **What is the phase of the signal?** - The phase of the signal represents the offset of the wave from a reference point at time zero. It is often measured in degrees or radians. E. **What kind of function is plotted?** - This graph represents a sinusoidal function, specifically a cosine or sine wave. F. **What sample rate (sample increment in ms) is needed to ensure that frequency information is preserved and not aliased?** - The sample rate must be at least twice the highest frequency present in the signal to meet the Nyquist criterion and prevent aliasing. G. **What sample rate (sample increment in ms) is needed to ensure that amplitude information is preserved?** - The sample rate should be sufficiently high to accurately capture the waveform's amplitude variations. While generally, it is the same as the Nyquist rate, practical scenarios might demand higher rates to ensure accurate amplitude details. These questions and the graph serve as a foundational analysis exercise to understand the basic properties and behavior of waves in the context of wave physics.
Transcribed Image Text:### Part 1 - Wave Physics #### Time-Series Signal Analysis The time-series signal depicted in the graph above is a sinusoidal wave, which is characterized by its smooth, periodic oscillations. ![Wave Graph](wavegraph.png) ##### Graph Description: - **X-axis (Horizontal):** - Represents time in milliseconds (ms), ranging from 0 to 850 ms. - **Y-axis (Vertical):** - Represents the amplitude of the wave, ranging from -1.500 to 1.500. ##### Questions for Analysis: A. **What is the period?** - The period is the duration of time it takes for one complete cycle of the waveform to occur. B. **Determine the frequency.** - The frequency is the number of complete cycles that occur in one second. It is the reciprocal of the period. C. **Can you compute the wavelength?** - The wavelength is the physical length of one complete cycle of the wave, often calculated in meters for physical waves, but this will depend on the wave speed and period. D. **What is the phase of the signal?** - The phase of the signal represents the offset of the wave from a reference point at time zero. It is often measured in degrees or radians. E. **What kind of function is plotted?** - This graph represents a sinusoidal function, specifically a cosine or sine wave. F. **What sample rate (sample increment in ms) is needed to ensure that frequency information is preserved and not aliased?** - The sample rate must be at least twice the highest frequency present in the signal to meet the Nyquist criterion and prevent aliasing. G. **What sample rate (sample increment in ms) is needed to ensure that amplitude information is preserved?** - The sample rate should be sufficiently high to accurately capture the waveform's amplitude variations. While generally, it is the same as the Nyquist rate, practical scenarios might demand higher rates to ensure accurate amplitude details. These questions and the graph serve as a foundational analysis exercise to understand the basic properties and behavior of waves in the context of wave physics.
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