Exercise 1. [50 pts] We wish to use the Buckingham 7r theorem to estimate the drag force on an airplane cruising at 400 km/ hr in standard air (atmospheric pressure) using a scaled l : 10 down model (geometrical dimensions of the model are 0.1 of that of the prototype). Let the air speed in the wind tunnel be 400 km / hr as well. Assuming the same air temperature for the model and prototype, determine the required pressure in the tunnel, and the drag on the prototype corresponding to 1 N on the model.| Hints: (i) The drag force, F, is expected to depend on the following parameters: V (wind speed), ,LL (Viscosity), p (density), E (length of the airplane), and to (wing span of the airplane). (ii) Assume that the air Viscosity does not depend on the air pressure. (iii) Use Ideal Gas Law pM W = pRT to relate the air density to pressure. (p: pressure, R: universal gas constant, MW: molecular weight of air, T: absolute temperature)