Why does the rotation of the Earth does not affect flying time?

Question

This link
(http://www.aerospaceweb.org/question/dynamics/q0027.shtml)
explains that the reason a flight west takes longer than a fight east is the winds blowing from west to east and that the rotation of the Earth is "cancelled out".
I can understand why does the Earth does not rotate under me if I'm jumping up (I got the inital velocity of the rotation) but intuitively it seems to me that this explantion would not hold on for a plane (has a engine, initial velocity is negligible).

Answer 1

The same reason it does not affect your walking time.

The air is part of the Earth and turns with it just like the pavement does.

A plane pushes on air to move, you push on the pavement to walk.

It is as simple as that.

However, the circulation of winds do affect flying time. With a following wind, planes get there faster, same as if you do when walking on one of those travelators they have at some airports.

Answer 2

The rotation of the Earth does not affect flying time because the air and atmosphere turn with the earth. The prevailing west wind has something to do with the rotation, but if the wind was directly related to the earth's rotation the wind would be from the east because the earth turns from west to east with sun rising in the east. At some altitude, the wind would have to be from the east tho because of the rotation, but aircraft don't fly that high.

Answer 3

You already said the answer... the plane begins the flight by already having an initial velocity of the earth. Having an engine doesn't matter, and the initial velocity is NOT negligible. The earth is rotating at about 1,000 miles per hour, which is faster than the plane is flying.

Answer 4

Simply put, the atmosphere of earth is rotating too.

Answer 5

centrifugal force