What is the relationship of motion of earth on its axis and Aeroplane velocity?
401228
An airplane flying in reverse of the earth's rotation will travel the same distance faster than one flying in the same direction as rotation.
438984
Minimally, 2.  Depending on how simplisticly we are thinking about the problem.\n\n1) the Earth rotates around it's axis\n2) the Earth revolves (orbits) around the sun\nhttp://www.ucolick.org/~bolte/AY4_00/week1/motionsC.html\n\nMaximally: ???\n3) the Earth and Moon really form a system together which revolves around the sun so there is the wobble attributable to that interaction.\nhttp://search.yahoo.com/search?ei=utf-8&fr=slv1-&p=earth%20moon%20system%20motion\n\n4) the Earth precesses about it's axis changing the tilt relative to the orbital plane\nhttp://csep10.phys.utk.edu/astr161/lect/time/precession.html\n\n5-14) Perturbations in Earth's motion due to gravitational pull from other planets (Mercury, Venus, Mars, Jupiter, Saturn, Neptune, Pluto, UB313).\n\n15) Solar system motion through the Milky Way galaxy which brings the Earth along with it\n\n16) Motion of Galaxy through the universe bringing along the solar system and earth.\n\n17) Changes in motion due to sloshing of the oceans and earthquakes.\n\n...
956084
Consider mass m on planet Y\nas also on Earth. We have\nm*g[e]=G*m*M/R^2.........1\nm*g[y]=G*m*[2M]/[2R]^2....2\nDivide eqn.2 by eqn. 1 we have\ng[y]/g[e]\n=2M/M*[1/4R^2]/[1/R^2]\n=2/4\n=1/2
939350
The height of the plane does not affect the acceleration, only the angle.\n\nAcceleration will be constant as long as the force acting on it is constant. The force contributing to acceleration (gravity) is constant.
750239
In half the rotation, the direction of velocity will become perpendicular to original direction and will be equal in magnitude to the original as no force acts in  direction of motion(if the air-resistance is negligible).\nsuppose initial direction is along positive z-axis\n=>/&#92; V=V2-V1\n=>/&#92; V=100(-k^) -100(k^)=200(-k^)\n/&#92;V=delta V(change in velocity)\nk^=unit vector along z-axis(axis perpendicular to the x-y plane)
1082685
Simply equate gravity function with centripetal acceleration.\n\nGMe/(r+h)^2 = V^2/(r+h)....where r is earth radius and h is height\n\nsolve for v
215475
The Earth is rotating around an axis (called its rotational axis). Some objects rotate about a horizontal axis, like a rolling log. Some objects, such as a skater, rotate about a vertical axis. The Earth's axis is tipped over about 23.5° from vertical.\n\nHow do we define up and down in space? What would "vertical" mean? For the Earth, we can think of vertical as straight up and down with respect to the plane in which the Earth orbits the Sun (called the ecliptic).\n\nEarth's rotational axis points in the same direction relative to the stars, so that the North Pole points towards the star Polaris. Think of the Earth as a spinning top, tipped over to one side. Over very long time periods (thousands of years) the direction of Earth's axis slowly changes due to precession.\n\nThe Earth rotates around once in 24 hours - that's a rate of 1000 miles per hour!. The time it takes for the Earth to rotate completely around once is what we call a day. It's Earth's rotation that gives us night and day.\n\nThe combined effect of the Earth's tilt and its orbital motion result in the seasons
256767
I'm not sure I really understand your question.  Are you how fast a particular point on earth is moving?  If that is the case it's not an easy answer because it depends where you are on the planet.  If you are on one of the poles then there is very little rotational speed.  If you are on the equator then your velocity is much greater.  Think of it like a CD in a CD player.  Also you would need to factor in the speed of the earth as it travels around the sun sometimes spinning in the same direction the earth is traveling resulting in a greater total velocity and sometimes spinning in the opposite direction yielding a lower total velocity.  The final analogy would be to tie a CD player to a string and swing it in circles while the CD is playing.  The speed of a single point, other than the center, of the CD is constantly changing.  However, it's still not even that simple due to the earth's eliptical orbit and varied velocity.
772498
Yes, an airplane does gain from the earth's spin -- but there are several problems with the way you're thinking about it.\n\nFirst, while sitting on the ground the plane is already spinning just as fast as the earth is.  In order to "stand still" in the air as the earth moves underneath, the plane would have to fly fast enough to lose that inertia given by the earth that it already has (which is nearly 1000 miles per hour).\n\nSecond, *because* of the earth's spin, the prevailing winds move the same way as the earth spins, so to move in the direction opposite the earth's spin you also have to overcome the wind speed, which adds more energy you have to spend, overcoming both wind and inertia.\n\nSo, to "sit still" (which really means to let the earth turn under you at around 1000 MPH at the equator), you have to move through the air at somewhere between 1000 and 1500 MPH -- and no commercial planes go that fast :)
821350
Think of it this way:  Once the plane is off the ground it is part of a mass of air that is likely moving in some direction (think wind).  The airplane moves through this mass of air at a constant velocity depending upon the power setting, load factors, etc.  The speed of the airplane is independent of the speed of the air mass.  The speed of the airplane over the ground consists of its speed in the air plus or minus the speed of the air mass over the ground adjusted for the direction the airplane is moving in relationship to the speed and direction the air mass is moving. \n\nA couple of examples might help.  Suppose that the airplane flies at 200 knots (about 230mph).  It is heading due east.  The airmass is also moving due east at 30 knots.  So, the ground speed of the airplane is 230 knots.  If the airplane were heading northeast then the ground speed would be 200 knots of air speed plus 21 knots (NE component of an air mass moving at 30 knots due east).  If it were heading due west then the ground speed would be 170 knots (200-30).\n\nWhat if it were heading directly to a spot 200 nautical miles to the north?  It would take slightly over an hour to get there.  Why?  Because to get to a spot due north on the ground the airplane would have to head west a bit to keep from going east of the spot it was flying to because the air mass was moving east.  In fact, it would take about 61 minutes and the airplane would have to head about 9 degrees west of north to keep from moving east.  The moving air mass would keep it on the north-south line between the starting point and destination.\n\nGot it?
262693
This is very similar to your other question (see m responce there).\n\nTo help you figure this out, it would help if you though just exactly how the velocity changes are the plane goes around the circle.  If you cant visualize it, draw a diagram.\nAs the plane travels around the circle, its velocity vector is always pointed straight out, tangent to the edge of the circle.\nBy the time the plane gets 1/4 way around the circle, it no longer has any of its velocity in the original "positive" direction, it is all directed perpendicular to the original direction.
306816
B.  The acceleration is towards the Earth and the force is constant.
128500
The object will follow a parabolic trajectory to the earth, as observed from outside the plane.  On the plane, it will appear to fall straight down in your (moving) frame of reference.  Air resistance will retard this motion, but it's magnitude depends on the drag coefficient of the object dropped and the medium in which it is falling.
161923
Earth and all the other planets in the solar system revolve, or orbit, around the Sun due to the force of gravitation. The Earth travels at a velocity of about 107,000 km/h (about 67,000 mph) as it orbits the Sun.
1042618
weight = mass x gravity\n\nso...\n\nweight / gravity = mass\n\nthe gravitational constant on earth is approx. 9 m/s^2
190298
There is the factor of where the wind originated from and the rotation of the earth.  Think about it, how fast is the north pole spinning (pretty slow, it takes 24 hrs for the earth to revolve)?  At the equator, the ground spins at a very high speed, being as the ground is further from the axis of rotation.  \n\nAs an example, a high-altitude air-mass originates from near the equator and travels away from the equator. The ground is spinning slower as you move away from the equator, but the air-mass does not lose a lot of the speed it had when it was at the equator.  Thus it will be moving relative to the ground it is now above. Since the earth rotates in the eastern direction, the wind will travel from east to west (relative to the ground it is now above).  \n\nIf the wind came from a location away from the equator and moved towards the equator, it is moving slowly relative to the equator so it will appear to be travelling slower than the rotation of the ground below it.  As a result, it would move from east to west relative to the ground.\n\nThis is how phenomenon like that jet-stream work.  This effect is called the coriolis (if I spelled it right) effect.
397782
If the clock is constantly moving at constant velocity, then you're right, the people on earth will say the plane's clock is going slower, whereas the people on the plane will say the earth's clocks are slow.\n\nHowever, when the plane starts and stops in these experiments, it undergoes an acceleration, which differentiates the two frames. That's why the plane's clock is behind when it's compared to the earth clock. Basically it's because the plane changes which inertial frames it is a part of when it accelerates. Your point is similar to the twin paradox, I suggest you check out my source, that should clear things up, you sound like you have a solid enough background to understand it.