 | Augustus William Smith - 1855 - 340 páginas
...revolution. Then (37) vT=2irr, , 47TV2 or « =-7pr(79), =fr. 47rV & rpi, or, ZAe centrifugal force varies directly as the radius of the circle, and inversely as the square of the periodic time. 4°. If T2 oc r3, by substitution in (81), , r 1 , / GC — oc — ; */... | |
 | Augustus William Smith - 1855 - 368 páginas
...periodic time, or time of one revolution. Then (37) vT=2nr, or (79), =/r. (81) or, the centrifugal force varies directly as the radius of the circle, and inversely as the square of the periodic time. 4°. If T' oc r\ by substitution in (81), or, when the squares of the... | |
 | Bartholomew Price - 1856 - 664 páginas
...2ira = VT; (45) therefore the centrifugal force of m = m — — ; (46) thus the centrifugal force in a circle varies directly as the radius of the circle, and inversely as the square of the periodic time. Again, if m moves in the circle with a constant angular velocity <a, then... | |
 | Augustus William Smith - 1863 - 340 páginas
...time, or time of one revolution. Then (37) vT=2nr, 4uV v=~!fr. (79), =/r. or, iAe centrifugal force varies directly as the radius of the circle, and inversely as the square of the periodic time. 4°. If T1 oc r', by substitution in (81), , r 1 /«P*?! or, when the... | |
 | Richard Anthony Proctor - 1865 - 312 páginas
...proportion of the distances of Titan and the moon from their respective primaries, must be still farther increased in the proportion of the square of Titan's...periods of revolution of the moon and Titan.* Hence, o , xv, IT,, Saturn s mass = the earths mass x = the earth's mass x 94-6766. On several accounts this... | |
 | Samuel Haughton - 1867 - 316 páginas
...in other words, the centrifugal force, or force of inertia of a body compelled to revolve uniformly in a circle, varies directly as the radius of the circle and inversely as the square of the periodic time. The laws of centrifugal force expressed by equations (25) and (26) may... | |
 | Denison Olmsted - 1870 - 556 páginas
...then 2 TT r = v t'; whence v = - j/-- This substituted in (1 ) gives » Hence, The centrifugal force varies directly as the radius of the circle, and inversely as the square of the time of revolution. 3. Let w = the weight of the revolving body, and c' = the centrifugal... | |
 | Richard Anthony Proctor - 1882 - 298 páginas
...than the imaginary Titan, a greater deflective power is necessary to alter the direction of Titan's motion through a given angle in a given time, than...squares of the periods of revolution of the moon and Titan.1 Hence, Saturn's mass = the earth's mass x (759,99oy x (?7j3£166y = the earth-s mass x ^238,76;... | |
 | Denison Olmsted - 1882 - 522 páginas
...then 2 nr = v t' ; whence v = —JT-. This substituted in (1) gives c = Hence, The centrifugal force varies directly as the radius of the circle, and inversely as the square of the time of revolution. 3. Let w = the weight of the revolving body, and c' = the centrifugal... | |
 | Edward Albert Bowser - 1884 - 550 páginas
...revolution ; then 2na = vT; . • . the centrifugal force of m = m -=- ; (2) and thus the centrifugal force in a circle varies directly as the radius of the circle, and inversely as the square of the periodic time. COR. 3. — If m moves in the circle with a constant angular velocity,... | |
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Titan and the moon from their respective primaries, must be still farther increased in the proportion of the square of Titan's velocity to the square of the moon's velocity. This could be readily effected from the data given above ; but the calculation... 