... (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 182by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull view - About this book
| Augustin Privat-Deschanel - Physics - 1873 - 1068 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 - 1068 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).... | |
| 1877
...Mersenne. They may be stated thus : — 1 See Eiemann's Partielle Differential Gleichungen, § 78. 8 **Dr Young, in his memoir of 1800, seems to have understood...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 Baron Rayleigh - Sound - 1877 - 984 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... | |
| W. H. Stone - Music - 1879 - 191 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 - Electricity - 1882
...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... | |
| Joseph David Everett - Physics - 1881
...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 - 132 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
...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 - 984 pages
...78. 2 1 '!• Yonng, in hia memoir of 1800, seems to have understood this matter quite correct! •, **He says, " At the same time, as M. Bernoulli has justly...dimensions, if it be assumed that r depends only on** l, p, and T,. For, if the units of length, time and mass be denoted respectively by [L], [T], [M\,... | |
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