Lab 2_ Speed of Sound- Resonance Tube

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Morgan State University *

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206

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Electrical Engineering

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Apr 3, 2024

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pdf

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6

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Lab 2: Speed of Sound- Resonance Tube Written by: Quinn Jones and Boluwatife Ade-Okanlami Due: February 6, 2024
Objectives: Determine the effective length of a closed tube at which resonance occurs for several tuning forks. Determine the wavelength of the standing wave from the effective length of the resonance tube for each tuning fork. Determine the speed of sound from the measured wavelengths and known tuning fork frequencies and compare with the accepted value. Equipment List: Resonance Tubes Tuning forks (500 to 1040HZ) Rubber hammer Thermometer Experimental Procedure: 1. Find the temperature of the air in the room and record it in Table 1 2. Adjust the water level to at least 5.0cm = 0.050m 3. Strick a tuning fork with a rubber hammer. Keep the fork vibrating continuously with a large amplitude. While the tuning fork is vibrating, another person slowly lowers the water from the top while listening for resonance. Measure the position of each resonance to the nearest millimeter. Do this three times and record the values in Data Table 2. 4. Repeat step 3 to locate as many other resonances and record the values in Data Table 2 5. Use a second tuning fork of a different frequency. Repeat steps 1-4 and record in Data Table 3. 6. Use Equation 5 to calculate the accepted value of the speed of sound from the measured temperature and record it in Data Table 1. 7. Calculate the mean and standard error of the three trials for the location of each of the resonances and record the answers in Data and Calculations Tables 2 and 3. 8. Use Equation 4 to calculate the appropriate wavelengths. With three resonances recorded 2 values can be determined. Use mean values of the lengths to calculate the wavelengths. 9. Calculate the mean and standard error of the number of independent wavelengths measured for each tuning fork and record the values in the Calculations Tables.
10. From the values and the known values of the tuning fork frequencies, calculate the experimental value for V , the speed of sound 11. Calculate the percentage error of the experimental values of V compared to the accepted value of the speed of sound in the Data and Calculations Table Data and Calculations Table 1: Room Temperature = 26 Speed of sound = 343m/s Data Table 2: Frequency Fork One = 512 L1(cm) L2(cm) L3(cm) 15.4 49.2 68.1 15.5 49.3 72.0 15.6 48.9 69.2 L1(m) L2(m) L3(m) 0.154 0.492 0.681 0.155 0.493 0.720 0.156 0.489 0.692
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