rover Senior Heliman Location: Brandon,FL
| rc*ag*aircraft,
It is not as simple as that, the taveling at 32.15ft/s². First off, that is an acceleration, the acceleration increases as you get closer to the center of mass. So it is a VARIABLE acceleration so you must use the dV/dt formula. It is only 32.15ft/s² at the surface of the earth. The acceleration also depends on the angle of inclination from the equator. Ok first off here is how i look at the problem, As an engineer we are taught to look at problems analyticaly.
1. acceleration varies with distance from center of mass. So as you approach the mass you are pulled faster and faster. Have you ever heard what would happen as you approach a singularity of a black hole? If you were upright your feet would be pulled faster than your head causing a strech on your body. essentially the same thing is happening on earth but to a lesser degree
2. the constant acceleration equations which are mentioned by various people above do not work for this problem, you must use the general form of acceleration which is dV/dt or d²x/dt². all of the constant acceleration equations are 'derived' from these seperable differential equations.
3. in order to solve this problem you have to take essentially the difference in accleration from the earths surface to the center of mass.
Anomaly , say when you are at the center of the Earth, in this hole, the rest of the earth besides just the center is still pulling on you, so there is still one more factor to take into effect, EF, sum of all forces by every particle on the earth since the earth does not have uniform mass distribution.
As you can see this is a complicated matter Rover Mechanical Engineer
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