![]() ![]() So at a depth d below the earth’s surface, the value of g falls by this amount: gd/Rįor example, considering g = 9.8 m/s^2 on the earth’s surface, g2 at a depth of 1000 meters from the surface of the earth becomes 9.7984 m/s^2. Here g2 is the acceleration due to gravity at depth d with respect to the earth’s surface and R is the radius of the earth. This is expressed by the formula g2 = g (1 – d/R). Variation of g with depth: As depth d increases below the earth’s surface the value of acceleration due to gravity falls. Variation of g with depth | How does Acceleration due to gravity(g) change with depth? Here g1 is the acceleration due to gravity at a height of h with respect to the earth’s surface and R is the radius of the earth. The Variation of g with height is expressed by the formula g1 = g (1 – 2h/R), where h<<R. So at a height h above the earth’s surface, the value of g falls by this amount: 2gh/R.įor example, considering g = 9.8 m/s^2 on the earth’s surface, g1 at a height of 1000 meters from the surface of the earth becomes 9.7969 m/s^2. This is expressed by the formula g1 = g (1 – 2h/R), where h<<R. Variation of g with height: As altitude or height h increases above the earth’s surface the value of acceleration due to gravity falls. Variation of g with height | How does Acceleration due to gravity(g) change with height? FAQ – Frequently Asked Questions with Answers.Derive the Formula for acceleration due to gravity at depth d | Variation of g with depth derivation.Derive the Formula for acceleration due to gravity at height h | Variation of g with height derivation.Variation of g with depth | How does Acceleration due to gravity(g) change with depth?.Variation of g with height | How does Acceleration due to gravity(g) change with height?.Now, to discuss exactly how acceleration due to gravity changes with height and depth with respect to the surface of the earth, we will take the help of simple mathematics and analyze separately (1) the Variation of g with height and (2) the Variation of g with depth and derive the formulas describing this variation of g with altitude and depth. This also means the value of g is maximum on the surface of the earth itself. The extent of the variation of g with height differs from that of the variation of g with depth, but it’s to note that the value of g falls both with increasing height & with increasing depth, with respect to the earth’s surface. And, g2 is the acceleration due to gravity at depth d with respect to the earth’s surface. Here g1 is the acceleration due to gravity at a height of h with respect to the earth’s surface. And, the Variation of g with depth is expressed by the formula g2 = g (1 – d/R). Variation of g with height is expressed by the formula g1 = g (1 – 2h/R), where h<<R. This is known as the variation of g with height and depth. Similarly, g at a location considerably below the earth’s surface won’t be equal to the value of g on the earth’s surface. This means the value of g on top of a mountain won’t be exactly the same as that on the earth’s surface. Variation of g with height and depth: Acceleration due to gravity or g varies as the height or depth varies with respect to the surface of the earth. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |