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Module3 - Physics 434 Autumn 2006 Module 3 Finding...

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Physics 434 Autumn 2006 Module 3 Finding resonances in a Kundt’s Tube (lab due to and thanks to Toby Burnett) Introduction This module explores the waveform capabilities of the NI DVI data acquisition board, and the corresponding driver VI’s. We will generate a sine wave of a given frequency, use it to excite a physical system (the Kundt’s Tube), and measure the result. We will also do some analysis of the results, demonstrating the capability of LabVIEW to perform stand-alone data analysis. The tubes that we use for this purpose have a loudspeaker in one end, and a small hole at the other end for a microphone to measure the sound wave amplitude. There is also a small box containing amplifiers for the speaker and microphone. The point will be to find some of the resonances, and estimate the speed of sound, and measure the damping. We begin by considering the sound resonances of an ideal organ pipe, or thin tube, of length L closed at both ends. Such a tube should show resonances under the following conditions: 2L = n λ (129 where L is the length of the tube, n is an integer, n = 1,2,3, . .. and λ is the wavelength of the sound. Standing waves are established such that at the ends of the tube, the pressure amplitude is maximal. Such regions are known as (pressure) antinodes. As Figure 1 shows, there are also nodes (regions of the tube where the pressure amplitude is zero). For n = 1, there is one pressure node at the center of the tube at L/2, while for n = 2, there are two nodes at L/4 and 3/L4 and so on for higher values of n. 1

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Physics 434 Autumn 2006 Figure 1. Standing Waves in a closed thin tube of Length L. The wavelength of the sound wave,
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Module3 - Physics 434 Autumn 2006 Module 3 Finding...

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