This is for those good at mechanics!!
Did you realise that an aircraft flying WITH the rotation of the earth will require slightly less lift than an aircraft flying AGAINST the rotation of the earth?
If an aircraft were to fly with the rotation of the earth, a very small centripetal force is present. It's very small, but it's there nontheless. If an aircraft were to fly AGAINST the rotation of the earth this centripetal force wouldn't be required. Nifty, eh? This centripetal force doesn't come to much (about 400N when the mass of the a/c is 10 tonnes) but it's a significant and interesting principle.
Remember also, if a plane were to fly with a velocity (a pre-requisite. duh.) WITH the rotation of the earth, the centripetal force is dependant on the square of the velocity, so this 400N can quickly escalate.
This doesn't really affect commercial aircraft, but it's interesting to think that if you reach a fast enough speed, the centripetal force will equal the weight
of the a/c
The a/c is now traveling at the circular velocity of the earth, and doesn't need any lift from the wings
Of course, you'd have to go about 30000 km/h for a 10 tonne a/c at ground level, which is slightly probelmatic, but it's an interesting principle, nevertheless.
Impress your mechanics teacher with THAT