By Paul. E Sabine
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Additional info for Acoustics And Architecture
The resultant particle displacement due to the superposition of both the direct and the reflected waves is It is to reflected d+r wave - = A[sin (* Jj + sin (* = *JJ -2^|cos wt sin 1 (18) In Fig. 6, the particle positions at quarter-period intervals are shown, each displacement being the resultant of the two displacements due to the direct and reflected waves 5a and 56 respectively. One notes immethat P-20, and P 40 remain stationary diately particles P the whole throughout cycle, while particles Pi and P 30 have a maximum amplitude of 2A.
20 F A wave length period, there is again a condensation at therefore as defined above includes one complete condensation and one rarefaction of the medium. 294 g. per liter, the maximum condensation liter is 1/1,293. It is apparent that a condensation results from the fact that the displacement of each particle at any instant is slightly different from that of an adjacent particle. Referring once more to Fig. 5a, one sees that if all the particles were displaced by equal amounts at the same time there would be no variation in the spacing of the It can be particles, that is, no variation in the density.
17. Distribution of sound it at any time, there is added to the amplitudes at points in a single horizontal plane. direct sound from the source the combined effect of waves emitted earlier, which arrive, after a series of reflections from the bounding surfaces, simultaneously at the given point. The intensity at any intensity j. point j is j_i i i -t , thus the resultant of a large number of separate waves and varies in a most complicated manner from point to point. It is an interesting experience to walk about an empty room in which a pure tone is being produced and note this point-to-point variation.
Acoustics And Architecture by Paul. E Sabine