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26 Resonance in Closed Pipes One closed organ pipe has a length of 240 m a What is the frequency of the note played by this pipe b When a second pipe is played at the same time, a 140-Hz beat note is heard By how much is the second pipe too long 27 Timbre Why do various instruments sound different even when they play the same note 28 Beats A tuning fork produces three beats per second with a second, 392-Hz tuning fork What is the frequency of the first tuning fork 29 Critical Thinking Strike a tuning fork with a rubber hammer and hold it at arm s length Then press its handle against a desk, a door, a filing cabinet, and other objects What do you hear Why



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If a vibrating tuning fork is held above a closed pipe of the proper length, the air in the pipe will vibrate at the same frequency, f, as the tuning fork By placing a glass tube in a large, water-filled graduated cylinder, the length of the glass tube can be changed by raising or lowering it in the water The shortest column of air that will resonate occurs when the tube is one-fourth of a wavelength long This resonance will produce the loudest sound, and the wavelength at this resonance is described by 4L, where L is the length from the water to the open end of the pipe In this lab, you will determine L, calculate , and calculate the speed of sound

How can you use a closed-pipe resonator to determine the speed of sound metric ruler thermometer (non-mercury) glass tube (approximately 40 cm in length and 35 cm in diameter)

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1 Put on your safety goggles Fill the graduated cylinder nearly to the top with water 2 Measure the room air temperature and record it in Data Table 1 3 Select a tuning fork and record its frequency in Data Tables 2 and 3 4 Measure and record the diameter of the glass tube in Data Table 2

(noninductive)

5 Carefully place the glass tube into the waterfilled graduated cylinder 6 Hold the tuning fork by the base Swiftly strike it on the side with the tuning fork mallet Do not strike the tuning fork on the laboratory table or other hard surface 7 Hold the vibrating fork over the open end of the glass tube and slowly raise the tube and the fork until the loudest sound is heard Once this point is located, move the tube up and down slightly to determine the exact point of resonance Measure the distance from the water to the top of the glass tube and record this distance in Data Table 2 8 Repeat steps 3, 6, and 7 for two additional tuning forks and record your results as trials 2 and 3 The three tuning forks that you test should resonate at three different frequencies 9 Empty the water from the graduated cylinder

9 Given this code in a method:

Trial Temperature ( C) Accepted Speed of Sound (m/s) Experimental Speed of Sound (m/s)

Trial Tuning Fork Frequency (Hz) Diameter (m) Length of Tube Above Water (m) Calculated Wavelength (m)

1 2 3

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1 2 3

1 Calculate the accepted speed of sound using the relationship v 331 m/s 060T, where v is the speed of sound at temperature T, and T is the air temperature in degrees Celsius Record this as the accepted speed of sound in Data Tables 1 and 3 for all the trials 2 Since the first resonant point is located when the tube is one-fourth of a wavelength above the water, use the measured length of the tube to determine the calculated wavelength for each trial Record the calculated wavelengths in Data Table 2 3 Multiply the values in Data Table 2 of wavelength and frequency to determine the experimental speed of sound and record this in Data Table 1 for each of the trials 4 Error Analysis For each trial in Data Table 1, determine the relative error between the experimental and accepted speed of sound Relative error

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