2006-06-14 04:41:25 · 18 answers · asked by abel g 2 in Science & Mathematics ➔ Astronomy & Space
Acceleration towards the Earth is equal to the Earth's geocentric gravitational constant* (3.986 x 10^14 meters^3/sec^2) divided by the square of distance from the center of Earth (6378000 meters)^2.
In other words: (3.986 x 10^14)/(6.378 x 10^6)^2
That comes to about 9.8 meters/sec^2.
Acceleration away from Earth due to the rotation of the Earth is equal to the square of the velocity divided by the radius of the Earth (6.378 x 10^6 meters).
In other words, v^2/r.
The Earth rotates 2(pi) radians per day, or about 7.292115 x 10^-5 rad/sec. You convert that to a linear velocity by multiplying the radius (6.378 x 10^6 meters) by the angular velocity (7.292115 x10^-5 rad/sec). At the equator, that comes to 465 meters/sec.
Squaring the linear velocity (465 meters/sec) and dividing by the radius (6.378 x 10^6) gives you an acceleration of only 3.4 cm/sec^2 away from the Earth.
In other words, the acceleration towards the Earth due to gravity is about 288 times the centripetal acceleration away from the Earth. It's there, but the force of gravity is much stronger.
* - the geocentric gravitational constant is just the universal gravitational constant multiplied by the mass of the Earth.
2006-06-14 05:03:29 · answer #1 · answered by Bob G 6 · 0⤊ 0⤋
Gravity
2006-06-14 11:59:06 · answer #2 · answered by sfs09_rrm 2 · 0⤊ 0⤋
Gravity
2006-06-14 11:46:07 · answer #3 · answered by angelpockets 4 · 0⤊ 0⤋
Gravity
2006-06-14 11:44:39 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Gravity is one part of the answer. The other is that the earth is not rotating fast enough.
If the earth would be rotating around its axis in 1.5 hours, objects on the equator would fly off as a matter of fact.
2006-06-14 16:12:57 · answer #5 · answered by dragolt 3 · 0⤊ 0⤋
The the centrifugal force caused by earths rotation is much less than the gravititional force.
gravity:
f=m*g
f=m*9.8
centrifugal force:
f=m*v^2*r
=m*450^2*6400000
f=m*0.03
Gravity is about 300 times stroner than centrifugal force, that's why we don't fly off.
2006-06-14 12:06:12 · answer #6 · answered by ljdynamique2 2 · 0⤊ 0⤋
A object in space which has mass and takes space, creates gravity which is one of the 4 known energy's of the universe. Earth goes at 14,000 mph. The solar system itself goes at 1,000,000 mph.
2006-06-14 11:47:57 · answer #7 · answered by lamiaoccisor 2 · 0⤊ 0⤋
I swear I've seen this question before.
Gravity and the rotation may be speedy but the earth is very large.
2006-06-14 11:44:44 · answer #8 · answered by Bethany 4 · 0⤊ 0⤋
becouse we ( & many other objects) on the surface of the earth has a negligible mass & volume to that of the earth so it attracts us (becouse of the reason i had mentioned) by Gravity so we don't fly
2006-06-14 11:54:03 · answer #9 · answered by Kevin 5 · 0⤊ 0⤋
gravity due to the weight of the earths atmosphere.
2006-06-14 15:48:42 · answer #10 · answered by Anonymous · 0⤊ 0⤋