What is the principle/relation that is being used in the take-off of aeroplanes?
Velocity-pressure relation
The pressure of air reduces when it moves fast. This principle was explained by a scientist named Bernoulli. The wings of a plane are designed in an aerofoil shape such that the velocity of air above the wings will be more than the velocity of air below. So, there will be a pressure acting on the wings in an upward direction (from the bottom of the wings to the upper region). This thrust helps the plane to take off.