Nathan Lab 12 Sound Waves and Beats

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Florida International University *

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2048L

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Electrical Engineering

Date

Dec 6, 2023

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pdf

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3

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Lab 12. Sound Waves and Beats 1. How can a musician use beats to tune his or her instrument? - The musician's instrument is accurately tuned to produce a musical note at a specific frequency measured in hertz (Hz). Another musician reproduces the same note but notices that the first instrument is playing at a frequency lower than it should be. Subsequently, they synchronize their sounds by playing simultaneously and adjusting until the tones match. 2. Given that sound waves consist of a series of air pressure increases and decreases, what would happen if an air pressure increase from one sound wave was located at the same place and time as a pressure decrease from another of the same amplitude? - The two entities merge, and the reduction in pressure counteracts the increase in pressure, potentially eliminating or significantly diminishing the sound. Analysis: Part I Simple Waveforms 1. Did your model fit the waveform well? In what ways was the model similar to the data and in what ways was it different? - The model conforms to the waveform, resembling the data chart in terms of wave pattern and size. However, distinctions arise between the model and the data graph due to varying frequencies, preventing the waves from overlapping. 2. Since the model parameter B corresponds to 2 f (i.e., f = B/(2)), use your fitted model to determine the frequency. Enter the value in your data table. Compare this frequency to the frequency calculated earlier. Which would you expect to be more accurate? Why? - F = B/2pi = 3230/2pi = 513Hz - The frequency derived from the model parameters (513Hz) is not only larger but also closer to the actual value compared to the previously calculated frequency
(505Hz). The model's frequency proves more accurate than the experimentally determined frequency, highlighting the precision inherent in models 3. Compare the parameter A to the amplitude of the waveform. - The parameter A and the amplitude of the waveform exhibit striking similarity, with minute differences observed in the thousandths decimal places. This correspondence is logical, considering that the amplitude represents the distance from the average pressure to both the highest and lowest values. Part II Beats 4. How is the beat frequency that you measured related to the two individual frequencies? Compare your conclusion with information given in your textbook. - The beats frequency (27.7Hz) is roughly equivalent to the disparity between the two individuals (32Hz). This alignment supports the validation of the experiments with information found in the textbook. Part 1 Simple Waveforms Tuning Fork Frequency Number of Cycles deltaT (s) Period (s) Calculated Frequency (Hz) 512C 25 0.0496 0.00178 505 480B 23 0.0483 0.00210 426 Turning Fork Frequency Amplitude (arbitrary units) 512C 0.0470 480B 0.570 Tuning Fork Frequency Parameter A (abritrary units) Parameter B (s^-1) Parameter C Parameter D f = B/2pi (Hz) 512 0.0460 3230 4.74 -0.00181 531
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