Consider standing waves in the column of air contained in a pipe of length L = 8.5 m. The speed of sound in the column is vs = 344 m/s. Each of the standing wave images provided may represent a case for which one or both ends are open. (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. (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 third possible excitation.) Part (e) Calculate the frequency f1, in hertz, for the fundamental harmonic in the pipe with one open and one closed end.
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Consider standing waves in the column of air contained in a pipe of length L = 8.5 m. The speed of sound in the column is vs = 344 m/s. Each of the standing wave images provided may represent a case for which one or both ends are open.
(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.
(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 third possible excitation.)
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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