| James Ferguson, David Brewster - Astronomy - 1806 - 532 pages
...perpcndicc2, Since bodies acquire a velocity of 32.174 feet in a second, by falling through 1 6.087 feet, and since the velocities of falling bodies are...the square roots of the heights through which they rail, the square root of 16.087 will be to the square root of the height of the fall as 32. 1 74 to... | |
| James Ferguson - Astronomy - 1823 - 444 pages
...the fall.5 2. Since bodies acquire a velocity of 32.174 feet in a second, by falling through 16.087 feet, and since the velocities of falling bodies are...heights through which they fall, the square root of 16.087 will be to the square root of the height of the fall as 32.174 to a fourth number, which will... | |
| James Ferguson - Astronomy - 1823 - 418 pages
...velocity of 32.174 feet in a second, by falling through 16.087 feet, and since the velocities of failing bodies are as the square roots of the heights through which they fall, the square root of 16.087 will be to the square root of the height of the fall as 32.174 to a fourth number, which will... | |
| Industrial arts - 1824 - 492 pages
...20 feet, the given fall of water, and a; = AC = BC, the required radius of the wheel ; then, because the velocities of falling bodies are as the square roots of the spaces descended, \/ (a — a;) will be as the momentum or force wherewith the stream strikes the wheel... | |
| William Emerson - Mechanical engineering - 1825 - 506 pages
...velocities of the fluid, spouting out at different depths, (ire as the square roots of the depths. For the velocities of falling bodies are as the square roots of the heights. .' ..Cor. 6. Hence, ifs = 16 ^feet, D = depth of the vessel to the centre of the hole., F ~ area of... | |
| St. George Jackson Mivart - Science - 1894 - 412 pages
...same velocity at each stage of their descent. We have also seen * that the velocities they require are as the square roots of the heights through which they fall, so that an object must be four times higher than another if we desire that it should attain twice the... | |
| John Turner - Mathematics - 1750 - 316 pages
...anfwered this Problem. PaoBLEM XXII. Anfwered by Mr. Graham. Let x be the Height required, then fince the Velocities of falling Bodies are as the Square Roots of the -Diftances perpendicularly defcrnded, the abfolute Celerity of the Ball after it hasdefctnded thro'... | |
| King's College (University of London) Engineering and scientific society - 1858 - 308 pages
...fallen freely in vacuo from a height equal to that of the surface of the fluid above the orifice. Now the velocities of falling bodies are as the square roots of the heights, so in order to obtain a twofold velocity a fourfold depth of water is required, for a threefold velocity... | |
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