By Paul. E Sabine
The various earliest books, quite these courting again to the 1900s and earlier than, at the moment are tremendous scarce and more and more pricey. we're republishing those vintage works in reasonable, top of the range, sleek variations, utilizing the unique textual content and paintings.
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Example text
5a, consider the motion of a particle at a distance x from the origin P Let c be the velocity with which . the disturbance travels, or the velocity of sound. Then the time required for the motion at P to be transmitted the distance x is x/c. The particle at x will repeat the motion of that at P position, x/c , the particle at The equation therefore for when P is in its neutral sec. later. 4/ cos 2 Its motion is = -Asinut (16) Considered alone, this motion gives rise to a reflected wave, for the displacement in the reflected wave and the equation is = -Arin^ + ^ (17) be noted that the sign of x/c is positive, since the is advancing in the opposite direction from that in which x increases. The progress of the reflected wave considered alone is shown in Fig. 56. 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. The rotating disks are driven by a common driving shaft, carrying a series of 40 helical gears. Each driving gear FIG. 86. Helical gear drive of the Riverbank synthesizer engages a gear mounted on a vertical shaft on which is The gear ratio also mounted one of the rotating disks. ACOUSTICS AND ARCHITECTURE 28 element is 40:1, while that for the fortieth is so that for 40 rotations of the main shaft the disks for the first 1:1, revolve 1, 2, carries a pin sliding Each disk 3, 4 ... 40 times respectively.