6m_lab5

6m_lab5 - EXPERIMENT 5M-5: THE RESONANCE TUBE Introduction:...

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EXPERIMENT 5M-5: THE RESONANCE TUBE Introduction: Sound Waves In the preceding two experiments, we observed that waves of many different types share a remarkable property in common: their propagation speed v is independent of the wave’s frequency. The speed does depend on the type of wave and the medium in which it trav- els; you saw last week, for example, that the speed of waves on a string depends on the string’s tension and mass density. The waves still follow the relation v = λ f , of course, so this means that high-freqency waves must have shorter wavelengths than low-frequency waves traveling in the same medium. So it probably doesn’t come as a surprise by now to learn that sound waves follow a similar rule: on a typical day at sea level travel at a speed v s = 343 m/s which is almost perfectly independent of their frequency. In lecture, you will eventually learn how v s depends on the air’s density, pressure, and even its adiabatic constant γ . For this lab, though, we will just assume that today is a typical day at sea level, and use the speed of sound given above. This week, we will investigate standing-wave patterns formed by sound waves in a tube, much like the tubes used in wind instruments such as flutes or organs. Once again, we will find that the speed of these waves does not depend on freIn this lab we will see how these properties are exhibited in a resonance tube, which is a model for many wind in- struments, including the organ. Fundamental Properties of a Resonance Tube Last week, you investiugated the patterns of standing waves that can be formed on a gui- tar string. This week, you’ll be setting up patterns of standing sound waves instead. In place of the guitar string you will use a long, narrow tube containing air. This resonance tube fills much the same role as the tube of a flute, a pipe organ, or any other wind in- strument; the frequencies played by these musical instruments follow the same rules as the frequencies of the standing waves you’ll investigate here. Note
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6m_lab5 - EXPERIMENT 5M-5: THE RESONANCE TUBE Introduction:...

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