Ribera

This Coriolis force is the problem. As you know it isn't a real force, but a geometrical effect due to rotation of earth beneath a flying object which has its own inertia. This object is "independent" of the earth and that's why its path relative to the ground is like a circle, due to earth rotation. So this "force" cannot modify the speed or the direction of the flying plane, which keeps is own polar speed in a context of increasing ground speed during his flight to the equator.

I don't see from where this "ever increasing "apparent" vector in the Westward direction" could come from. If you are speaking about the atmosphere drag, a very simple vectorial computing gives us (in 2 dimensions) angle (with the southward direction) = inv tangent (1670/1000) = 59° speed = SQRT(10002 + 16702) = 1886 km/h which would make the plane crash. Whatever it is, the atmosphere drag is not a solution, because if the plane flies straight ahead to the equator, the atmosphere displacement would mean a lateral wind which very fastly would make it to crash.

Hello everyone. Even simple situations can be not so easy to deal with. I ask myself a simple question and I haven't found an easy explanation. Imagine a plane taking off from the north pole, and flying at 1000 km/h to the equator. When it arrives there it turns "right", in direction of the west, that is in the opposite direction of earth rotation (it is still flying at same proper speed of 1000 km/h). The plane doesn't land during that time. The very simple question is : what will be its speed relatively to the ground ? At north pole it will have no angular momentum due to earth rotation, because it is located at the axis of earth sphere. Its speed relatively to the ground will then be 1000 km/h. During the travel to the equator, the ground beneath the plane is going faster and faster (due to earth rotation). So at the equator after turning to the west it will get a total speed of 1000 km/h (due to his propulsors) + a relative rotational earth speed of 1670 km/h = 2670 km/h ! That would make the plane to crash instantly, which is something that doesn't happen. The main problem I see is that it seems that the earth has no mean to "communicate" its rotational speed to the plane which keeps flying at its original polar speed, that is 1000 km/h.