Air at 20 °C and 1 atm flows past a smooth flat plate at Uoo =20 m/s (below figure). A pitot stagnation tube, placed 1.2 mm from the wall, develops a water (Pu =998 kg/m) manometer head h = 20.04 mm. Assume the transition for this plate occurs at Re-106. Take the density and dynamic viscosity of air at 20 °C and 1 atm, as pa =1.205 kg/m and u = 1.81 x 10 kg/(m s). i) Calculate the velocity which is measured by the pitot tube. iii) Check to see if the flow is laminar i) Use this information with the Blasius solution to estimate the position x of the pitot tube.