 ... (1) For a given string and a given tension, the time varies as the length. This is the fundamental principle of the monochord, and appears to have been understood by the ancients1. (2) When the length of the string is given, the time varies inversely...  The Theory of Sound - Page 176by John William Strutt Baron Rayleigh - 1894 - 480 pagesFull view - About this book
 | Augustin Privat-Deschanel - Physics - 1873 - 298 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights).... | |
 | Augustin Privat-Deschanel - Physics - 1873 - 300 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights).... | |
 | John William Strutt (3rd baron Rayleigh.) - 1877 - 382 pages
...Gleichungen, § 78. 8 Dr Young, in his memoir of 1800, seems to have understood this matter quite correctly. He says, "At the same time, as M. Bernoulli has justly...by the method of dimensions, if it be assumed that T depends only on l, p, and T,. For, if the units of length, time and mass be denoted respectively... | |
 | John William Strutt Rayleigh - Sound - 1877 - 382 pages
...respects a convenient and compendious method of considering the problem." 124.] MERSENNE'S LAWS. 139 (1) For a given string and a given tension, the time...by the method of dimensions, if it be assumed that T depends only on l, p, and T^ For, if the units of length, time and mass be denoted respectively by... | |
 | William Henry Stone - Sound - 1879 - 272 pages
...When the length of the string is given, the vibration number varies directly, the time of vibration inversely, as the square root of the tension. 3. Strings...vibrate in times which are proportional to the square root of the linear density, the vibration number being in inverse ratio to this. The motions of a string... | |
 | Augustin Privat-Deschanel - 1882 - 318 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length, stretched with the same forces, have frequencies of vibration which are inversely as the square roots... | |
 | Augustin Privat-Deschanel - Physics - 1881 - 318 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights).... | |
 | Henry Smith Carhart - Physics - 1890 - 144 pages
...the string, when the length alone is changed. 2. The vibration-frequency is directly proportional to the square root of the tension. 3. Strings of the same length, stretched with the same forces, vibrate with frequencies inversely as the square root of their masses... | |
 | Augustin Privat-Deschanel - Physics - 1891 - 320 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length, stretched with the same forces, have frequencies of vibration which are inversely as the square roots... | |
 | John William Strutt Baron Rayleigh - Sound - 1894 - 516 pages
...Glrichungen, § 78. 2 Dr Young, in his memoir of 1800, seems to have understood this matter quite correctly. He says, " At the same time, as M. Bernoulli has justly...dimensions, if it be assumed that r depends only on I, p, and Tl. For, if the units of length, time and mass be denoted respectively by [L], [T], [M],... | |
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