 | Bengal council of educ - 1848 - 394 pages
...Let G = force of gravity at the bottom G (1 — h) = ........................... top of the mountain. Then since the force of gravity varies inversely as the square of the distance from the centre of the earth, we have G (1— h) : G :: r' : (r + x)2 (2 x \ 1 — — ^~... | |
 | Bengal (India) - 1848 - 520 pages
...earth = 4000 miles nearly. Let G = force of gravity at the bottom G (1 — h) = top of the mountain. Then since the force of gravity varies inversely as the square of the distance from the centre of the earth, we have G(l — h) : G :: rs : (r + x)! \* T "f (I +-L\* T vr/... | |
 | Harvey Goodwin - Mathematics - 1849 - 588 pages
...then, taking the earth's radius as 4000 miles, , / 4000 x 1760 X 3 -\2 s = g x 1760 x 3 — V + x}' (since the force of gravity varies inversely as the square of the distance from the earth's centre,) \ - nearly ; 4000 x 1760 x S] .: the time of oscillation at the... | |
 | Denison Olmsted - Physics - 1853 - 752 pages
...whose lengths are L, /, when carried to the distances D, d, above the Earth's surface. Let r— the radius of the Earth, then since the force of gravity varies inversely as the, square of the distance from the Earth's center, the force which accelerates the pendulum whose length is (L) : the... | |
 | Denison Olmsted - Philosophy - 1854 - 620 pages
...Earth's surface. Let ?-=the radius of the Earth, then since the force of gravity varies inversely as the square of the distance from the Earth's center,...which accelerates the pendulum whose length is (L) : 1 the force which accelerates the pendulum whose length is (/): :-— -,« __ :=-, :: r+rf|f : r+Dj1;... | |
 | Edward John Gross - Dynamics - 1876 - 278 pages
...mountain, r the radius of the earth, g the acceleration of a falling body near the base of the mountain. Then, since the force of gravity varies inversely as the square of the distance from the centre of the earth, the acceleration of a falling body at the summit is .—r ,... | |
 | Royal Astronomical Society of Canada - Astronomy - 1921 - 860 pages
...the force of gravity at the equator measured in cgs units is 978.03, while at the pole it is 983.06, since the force of gravity varies inversely as the square of the distance. On account of this a ton of freight "weighs" 3 pounds more at Norman than at Ottawa. This... | |
 | Stuart Victor Semour Craigie Messum - Hydrographic surveying - 1910 - 572 pages
...represent the magnitude of the force of attraction of the moon, the direction being from A towards M. Since the force of gravity varies inversely as the square of the distance, the force acting at C will now be represented by line MK, but acting in the direction C to... | |
 | 1958 - 364 pages
...moon is nearer to that body than is the center of the earth and is therefore more strongly attracted since the force of gravity varies inversely as the square of the distance. For the same reason the center of the earth is more strongly attracted by the moon than is... | |
 | Paul Schureman - Tides - 1994 - 344 pages
...moon is nearer to that body than is the center of the earth and is therefore more strongly attracted since the force of gravity varies inversely as the square of the distance. For the same reason the center of the earth is more strongly attracted by the moon than is... | |
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Let ?-=the radius of the Earth, then since the force of gravity varies inversely as the square of the distance from the Earth's center, the force which accelerates the pendulum whose length is (L) : 1 the force which accelerates the pendulum whose length... 