I have the following problem:
"An aircraft is flying at 800 km/h in latitude 55◦ N. Find the angle through which it must tilt its wings to compensate for the horizontal component of the Coriolis force."
What I understand is that the aircraft follows the trajectory of the Earth's circle in latitude 55. So, since the Coriolis force (Fc) is the vectorial product -2w^r' (w is the angular momentum and r' the velocity in the rotating frame), it points inside or outside the Earth.
In the image, we have the first case:
So, if the aircraft is moving westward, we have the situation in the image, there is a component of the Coriolis Force trying to move the direction of the aircraft northward.
The problem is that I simply can't go on with these informations and find the angle (the answer is 0,155◦).
My specific question may be simpler than the concepts of the problem itself, but there it is: how can I compensate a force northwards only changing the angle of the flight? I can understand if there is a wind pushing the aircraft, I can find a direction to the velocity of the airplane that have one component that exactly vanishes the wind contribution. But how can I vanish a force? Is there a force that appears by changing the angle of the flight?
And more than that, if I change the angle, that wouldn't change also the direction and size of the Coriolis force and we should need another angle to compensate this new component of the Coriolis force?
(I'm not a native speaker, sorry for any language mistake)