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" The time of vibration varies directly as the square root of the length of the pendulum. "
A Syllabus of a Course in Elementary Physics - Page 16
by Frederick E. Sears - 1905
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A Text Book of Elementary Mechanics: For the Use of Colleges and Schools

Edward Salisbury Dana - Mechanics - 1881 - 320 pages
...in the case of heat and light. (2) If g is constant — that is, for the same point on the earth— the time of vibration varies directly as the square root of the length (t cc VT, orfotl). If a given pendulum vibrates in 1 second, one four times as long will vibrate in...
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Physics by Experiment: An Elementary Text-book for the Use of Schools

Edward Richard Shaw - Physics - 1891 - 342 pages
...independent of the material of the pendulum, and of the length of the arc through which it vibrates. II. The time of vibration varies directly as the square root of the length of the pendulum. III. The time of vibration diminishes as the pendulum moves from the equator towards...
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Illustrations of the C.G.S. System of Units: With Tables of Physical Constants

Joseph David Everett - Physics - 1891 - 250 pages
...T, 1 = - 2«, whence n = - 1, and by equating the exponents of L, m + n = 0, whence m = \; that is, the time of vibration varies directly as the square root of the length, and inversely as the square root of g. 2. The velocity of sound in a gas depends only on the density...
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A Text-book of Physics

George Albert Wentworth, George Anthony Hill - Physics - 1898 - 456 pages
...therefore, contains the following laws : 1. Small vibrations are isochronous (made in equal times). 2. The time of vibration at any place is independent of the mass of the bob or the nature of the material. 3. The time of vibration varies directly as the square root of the length....
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Physics by Experiment: An Elementary Text-book for the Use of Schools

Edward Richard Shaw - 1901 - 342 pages
...independent of the material of the pendulum, and of the length of the arc through which it vibrates. II. The time of vibration varies directly as the square root of the length of the pendulum. III. The time of vibration diminishes as the pendulum moves from the equator towards...
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Elements of Physics, Experimental and Descriptive

Amos T. Fisher, Melvin J. Patterson - Physics - 1902 - 200 pages
...first trial. This experiment shows that the shorter the pendulum, the quicker the vibration, and that the time of vibration varies directly as the square root of the length. EXPERIMENT 14. — Place a strong magnet under the ball very close to it, and note that the pendulum...
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Simple Experiments in Physics: Mechanics, Heat, Fluids

John Francis Woodhull, May Belle Van Arsdale - Physics - 1906 - 152 pages
...dependent on the weight of the bob. The time of vibration is dependent on the length of the pendulum. Time of vibration varies directly as the square root of the length. Number of vibrations vary inversely as the square root of the length. MACHINES. right hand weight twice...
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The Photographic Times, Volume 39

Photography - 1907 - 816 pages
...pendulum will also be affected by becoming longer or shorter as the temperature rises or falls. As the time of vibration varies directly as the square root of the length the percentage of error will become quite appreciable with changes of temperature. The isochronism...
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The World Book: Organized Knowledge in Story and Picture, Volume 6

Michael Vincent O'Shea, Ellsworth D. Foster, George Herbert Locke - Encyclopedias and dictionaries - 1918 - 888 pages
...of the mass. (2) In the same pendulum, all vibrations of small amplitude are made In the same time. (3) The time of vibration varies directly as the square root of the length. A pendulum oneninth the length of another will vibrate three times as fast. (4) The time of vibration...
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Industrial Physics; Mechanics

Lewis Raymond Smith - Mechanics - 1922 - 248 pages
...mass, 2. For small amplitudes, the period of vibration is independent of the amplitude, 3. The period of vibration varies directly as the square root of the length, 4. The period of vibration varies inversely as the square root of the acceleration of gravity. The laws in...
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