By Paul. E Sabine
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Extra resources for Acoustics And Architecture
At the free surface of a liquid, waves occur in which the particles move in closed loops under the combined action of gravity general and surface tension. Equation of Wave Motion. (3) gives the displacement of a vibrating parterms of the time, measured from the instant the particle passed through its undisplaced position, and of the Equation ticle in ACOUSTICS AND ARCHITECTURE 18 amplitude and frequency of vibration. The equation of a wave gives the displacement of any particle in terms of the time and the coordinates that determine the undisplaced position of the particle.
To map FIG. 16. shown map. that in a single horizontal out the sound field in a vertical plane, one distribution is Relative amplitudes of sound in a may work from spiral records room with taken in a a steady source. series of horizontal planes. Figure 18 is a series of records made in planes at four different levels above the mouth of the source resonator. The upper series shows the sound pattern with no absorbent material present, and the lower series shows it when the floor of the room is covered with absorbent It is obvious that the distribution in three material.
12. than leSS a tube with unity. Referring to Eq. absorbent barrier ? (d+r) \(l - 18, = A[sin k) sin wt cos -2fc A cos At the write in the case of an - k sin art c sin intcrnodes, cos J 5) co(< L = we may ^ c (1 + co(* + -tA(l k) cos - is zero, *>* = c amplitude is A (1 k). 1, and - u(t sin (23o) - -} = c at these points the displacement amplitude while at the nodes cos 1 c J *) sin and sin is = sin c 1; A(l 0, (236) hence + k} t and the SUSTAINED SOUND IN AN INCLOSURE 39 We note from the form of Eq.
Acoustics And Architecture by Paul. E Sabine