 | Augustus William Smith - Mechanics, Analytic - 1855 - 340 pages
...discuss the circumstances of the vibration of different pendulums. 1°. Since in (86) TT is constant, or, the time of vibration of a pendulum varies directly...the length, and inversely as the square root of the accelerating force. 2°. If g be constant, which is the case in the same latitude, and at the same... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...discuss the circumstances of the vibration of different pendulums. 1°. Since in (86) TT is constant, or, the time of vibration of a pendulum varies directly...the length, and inversely as the square root of the accelerating force. 2°. If g be constant, which is the case in the same latitude, and at the same... | |
 | Denison Olmsted - Physics - 1860 - 492 pages
...varies as the force of gravity. /L\* Also, T oc (-) ; that is, the time of a vibration varies directy ly as the square root of the length, and inversely as the square root of the force of gravity. Since the number, JS", ol vibrations in a given time varies in..J vereely as T, .-.... | |
 | Denison Olmsted - Physics - 1861 - 492 pages
...beating seconds, varies aa ike force of gravity. Also, T oc ( — J ; that is, the time of a vibration varies directly as the square root of the length, and inversely as the square root of the force of gravity. Since the number, N, of vibrations in a given time varies inversely as T, .-. N oc... | |
 | Augustus William Smith - Mechanics, Analytic - 1863 - 340 pages
...circumstances of the vibration of different pendulums. 1°. Since in (86) rT is constant, T'Ti or, the time of vibration of a pendulum varies directly...the length, and inversely as the square root of the. accelerating force. 2°. If g be constant, which is the case in the same latitude, and at the same... | |
 | Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...the foregoing result, that when the force of gravity remains the same, the time of the oscillation of a pendulum varies directly as the square root of the length, and that when the length is the same, the time varies inversely as the square root of the force of gravity.... | |
 | Denison Olmsted - Physics - 1870 - 556 pages
...beating seconds varies as tlie force of gravity. i Also, t oc ( - ) ; that is, the time of a vibration varies directly as the square root of the length, and inversely as the square root of the force of gravity. Since the number, n, of vibrations in a given time varies ini versely as the time... | |
 | Denison Olmsted - Physics - 1870 - 464 pages
...the force of gravity. * / 1 \ Also, t oc ( — I ; that is, the time of a vibration varies directly y as the square root of the length, and inversely as the square root of the force of gravity. Since the number, n, of vibrations in a given time varies inversely as the time of... | |
 | George Farrer Rodwell - Physical sciences - 1871 - 620 pages
...that the time of oscillation varies directly as the square root of the simple equivalent pendulum, and inversely as the square root of the acceleration due to gravity. Hence this acceleration can be determined as soon as the length and time are known. Accurate experiments... | |
 | Joseph David Everett - Physics - 1891 - 250 pages
...= - 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 D of the gas and its coefficient of... | |
| |
The time of vibration of a pendulum varies directly as the square root of the length, and inversely as the square root of the acceleration due to gravity at the given latitude and elevation above the earth's surface. 
