Copy of 5BL Lab 5 Assignment Submission - W24v2

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University of California, Los Angeles *

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Mechanical Engineering

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Apr 3, 2024

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pptx

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Uploaded by MajorLapwingMaster1210

1 1.Describe your experimental setup for the guitar measurement, with a brief statement of how you are measuring your frequency and wavelength for the two string lengths. Need: Guitar and Visual Analyzer software, microphone. Have microphone connected to computer with software. Hold right above guitar to pick up sound waves. frequency: period T = 1/f. Find time needed to complete 10 wavelengths and divide by 10 to use for T. Solve for f. wavelength: measure length of strength. wavelength = 2L/n. Show snapshots of the frequency data (using capture scope for 10-20 periods and capture spectrum; 2 plots ), labeling the parameters of the measurement and give a clear description of how they were obtained. found time over 10 wavelengths to calculate frequency 1/(deltat/10) wavelength: 2L/n. measured effective guitar string to obtain L. n=1 found time over 10 wavelengths to calculate frequency 1(deltat/10) wavelength: 2L/n. measured effective guitar string to obtain L

2 2.Enter the data analysis from your guitar measurements in the table below Discuss possible sources of error (and which error(s) you think is/are most likely and why). Physical System Length (m) Standing-Wave Wavelength Measured Frequency String wave speed Guitar String 0.77 1.54m 176.37 Hz 271.60 m/s Guitar String 0.39 0.78m 308.64Hz 240.74 m/s Some possible sources of error could be that the microphone picked up sounds of other frequency and wavelength from around the room. The surrounding environment of the room could also disrupt the length and the elasticity of the strings because of the temperature. Another error may be introduced by us while conducting the measurement like an inaccuracy in measuring length of the guitar string. Lastly, there could be an inaccuracy in the technical equipment that we are using to measure the waveform and speed.

3 3.Describe your experimental setup for the singing rod, including how you determined the wavelength and frequency for two of the modes Hold rod at its midpoint with thumb and index fingers. With other hand, dust thumb and index finger with resin and pull rod along its length. Now change where you are holding the rod and repeat. Use microphone held above guitar to pick up sound. Use visual analyzer software to find the frequency. Measure length of rod and use this to find wavelength (2L/n). To determine frequency: calculate average time for 10 wavelengths. frequency = 1/T To determine wavelength: wavelength = 2L/n. Use length from holding point to end of rod Show snapshots of the frequency data (using capture scope for 10-20 periods and capture spectrum; 2 plots ), labeling the parameters of the measurement and give a clear description of how they were obtained. found time over 10 wavelengths to calculate frequency 1/(deltat/10) wavelength: 2L/n. measured rod length to obtain L. n=1 wavelength: 2L/n. measured rod length to obtain L. n=1 found time over 10 wavelengths to calculate frequency 1/(deltat/10)

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4 4.Enter the data analysis from your aluminum rod measurements in the table below Discuss possible sources of error (and which error(s) you think is/are most likely and why). The microphone may have picked up other sound from around the room. The rod may not have been held at precisely the measured length. This is likely because it is hard to hold an object exactly where indicated. It is also hard to get a smooth sound from the rod. You have to “slip” initially before pulling to get a clear, smooth sound. Physical System Support length from end Standing-Wave Wavelength Measured Frequency Wave speed in an aluminum rod Aluminum rod 0.88 1.76m 1831.50 Hz 3223 m/s Aluminum rod 0.61 1.22m 1639.34 Hz 2000m/s

5 5.Paste examples of the spectrum of speaking tones and of sung “pure” tones (using capture scope for 10-20 periods and capture spectrum; 4 plots ). How well were you able to produce a single frequency (compare with the spectra of the guitar and the rod)? speaking voice Use what you have learned to hypothesize why our voices tend to get deeper as we grow from childhood to adulthood? (hint: What is changing about the body part of interest?) As we grow older, our larynx grows vocal cords change size and thicken. Like with the guitar string, the further we put our finger from the opening, the larger the wavelength and thus the lower the frequency. With larger vocal cords, wavelength increases so frequency deceased which is hear as a deeper voice. pure tone “do” pure tone “mi”