Part a and part d are both complete, see attached images. Problem 10: Consider standing waves in the column of air contained in a pipe of length L = 6.5 m. The speed of sound in the column is vs = 348 m/s. Each of the standing wave images provided may represent a case for which one or both ends are open. Part (a) Select the image from the options provided showing the displacement of the air molecules in the third harmonic of a pipe with two open ends. Part (b) Calculate the wavelength λ3, in meters, for the third harmonic in the pipe with two open ends. Part (c) Calculate the frequency f1, in hertz, for the fundamental harmonic in the pipe with two open ends. Part (d) Select the image from the options provided showing the displacement of the air molecules in the third mode of a pipe with one open end and one closed end. (The third mode is the second excitation above the fundamental.) Part (e) Calculate the frequency f1, in hertz, for the fundamental harmonic in the pipe with one open and one closed end.
Part a and part d are both complete, see attached images.
Problem 10: Consider standing waves in the column of air contained in a pipe of length L = 6.5 m. The speed of sound in the column is vs = 348 m/s.
Each of the standing wave images provided may represent a case for which one or both ends are open.
Part (a) Select the image from the options provided showing the displacement of the air molecules in the third harmonic of a pipe with two open ends.
Part (b) Calculate the wavelength λ3, in meters, for the third harmonic in the pipe with two open ends.
Part (c) Calculate the frequency f1, in hertz, for the fundamental harmonic in the pipe with two open ends.
Part (d) Select the image from the options provided showing the displacement of the air molecules in the third mode of a pipe with one open end and one closed end. (The third mode is the second excitation above the fundamental.)
Part (e) Calculate the frequency f1, in hertz, for the fundamental harmonic in the pipe with one open and one closed end.
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