 | Thomas Simpson - Calculus - 1805 - 494 pages
...a1 refpe-ftively. SCHOLIUM, 217. From the preceding propofition, and its fubfequent corollnries, the velocity and periodic time of a body revolving in a circle at any given diftance from the earth's centre, bj means of its own gravity, may be deduced : for let d be put for the fpace through which... | |
 | William Nicholson - Natural history - 1809 - 726 pages
...of whose foci is w the center of their primary ones, &c. From what has been said may be deduced the velocity and periodic time of a body revolving in a circle, at any given distance from the earth's center, by means of its own gravity. Pnlg- = 16Vj feet, the space described... | |
 | William Marrat - Mechanics - 1810 - 512 pages
...per second nearly. 443. Scfiolinm. From what has been delivered on the subject of central forccsi the velocity and periodic time of a body revolving in a circle at any 'given distance from the earth's centre by mewks of its own gravity may be found. Let R denote the distance... | |
 | Olinthus Gregory - Mechanical engineering - 1815 - 604 pages
...r, r2, and r*, respectively. SCHOLIUM. 283. From the preceding proposition and its corollaries the velocity and periodic time of a body revolving in a circle, at any given distance from the earth's centre, by means of its own gravity, may be deduced. Tims, let the radius... | |
 | William Nicholson - Natural history - 1819 - 412 pages
...whose foci is in the center of their primary ones, Sec. From what has been said may be deduced the velocity and periodic time of a body revolving in a circle, at any given distance from the earth's center, by means of its own gravity. Putj-=16 1 feet, the space described... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 340 pages
...by a force varying inversely as the square root of the distance. Ans. v=^2^(az—x^Y Ex. 2. Find the velocity and periodic time of a body revolving in a circle at a distance of n radii from the earth's center. Ans, v= ( — V n g Ex. 3. Find the least velocity with... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...varying inversely as the square root of the distance. II -LI Ans v^=2tt~(ci' 2?'^' 2 3/r Ex. 2. Find the velocity and periodic time of a body revolving in a circle at a distance of n radii from the earth's center. / fff Ans. »= I — Ex. 3. Find the least velocity... | |
 | Augustus William Smith - Mechanics, Analytic - 1863 - 340 pages
...varying inversely as the square root of the distance. An*. v=2^(a^—x^ -H- 11 i ~ty Ex. 2. Find the velocity and periodic time of a body revolving in a circle at a distance of n radii from the earth's center. / gr Ans. v= I s— Ex. S. Find the least velocity with... | |
 | De Volson Wood - Mechanics, Analytic - 1882 - 276 pages
...per second : required the tension of the string which holds it. (Use equation (141).) 3. Eequired the velocity and periodic time of a body revolving in a circle at a distance of n radii from the earth's centre. The weight of the body on the surface being mgr, at... | |
 | Mathematics - 1889 - 200 pages
...other lines, provided the (2я + 2) lines are tangents to a conic. 3326. (By JB Sanders.) — Find the velocity and periodic time of a body revolving in a circle at a distance of я radii from the earth's centre. 3327. (By W. Siverly.) — How many spheres, each 2... | |
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Find the least velocity with which a body must be projected from the moon in the direction of a line joining the center of the earth and moon, so that it may reach the earth. Ex. 4. Given the velocity, distance, and direction... 