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Figure 15-9 Raising or lowering the tube changes the length of the air column When the column is in resonance with the tuning fork, the sound is loudest

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If you have ever used just the mouthpiece of a brass or reed instrument, you know that the vibration of your lips or the reed alone does not make a sound with any particular pitch The long tube that makes up the instrument must be attached if music is to result When the instrument is played, the air within this tube vibrates at the same frequency, or in resonance, with a particular vibration of the lips or reed Remember that resonance increases the amplitude of a vibration by repeatedly applying a small external force at the same natural frequency The length of the air column determines the frequencies of the vibrating air that will be set into resonance For many instruments, such as flutes, saxophones, and trombones, changing the length of the column of vibrating air varies the pitch of the instrument The mouthpiece simply creates a mixture of different frequencies, and the resonating air column acts on a particular set of frequencies to amplify a single note, turning noise into music A tuning fork above a hollow tube can provide resonance in an air column, as shown in Figure 15-9 The tube is placed in water so that the bottom end of the tube is below the water surface A resonating tube with one end closed to air is called a closed-pipe resonator The length of the air column is changed by adjusting the height of the tube above the water If the tuning fork is struck with a rubber hammer and the length of the air column is varied as the tube is lifted up and down in the water, the sound alternately becomes louder and softer The sound is loud when the air column is in resonance with the tuning fork A resonating air column intensifies the sound of the tuning fork Standing pressure wave How does resonance occur The vibrating tuning fork produces a sound wave This wave of alternate high- and lowpressure variations moves down the air column When the wave hits the water surface, it is reflected back up to the tuning fork, as indicated in Figure 15-10a If the reflected high-pressure wave reaches the tuning fork at the same moment that the fork produces another high-pressure wave, then the emitted and returning waves reinforce each other This reinforcement of waves produces a standing wave, and resonance is achieved An open-pipe resonator is a resonating tube with both ends open that also will resonate with a sound source In this case, the sound wave does not reflect off a closed end, but rather off an open end The pressure of the reflected wave is inverted; for example, if a high-pressure wave strikes the open end, a low-pressure wave will rebound, as shown in Figure 15-10b.

Figure 15-10 A tube placed in water is a closed-pipe resonator In closed pipes, high pressure waves reflect as high pressure (a) In open pipes, the reflected waves are inverted (b)

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Resonance lengths A standing sound wave in a pipe can be represented by a sine wave, as shown in Figure 15-11 Sine waves can represent either the air pressure or the displacement of the air particles You can see that standing waves have nodes and antinodes In the pressure graphs, the nodes are regions of mean atmospheric pressure, and at the antinodes, the pressure oscillates between its maximum and minimum values