Consider a Pitot static tube mounted on the nose of an experimental airplane. A Pitot tube measures the total pressure at the tip of the probe (hence sometimes called the Pilot pressure), and a Pitot static tube combines this with a simultaneous measurement of the free-stream static pressure. The Pitot and free-stream static measurements are given below for three different flight conditions. Calculate the free-stream Mach number at which the airplane is flying for each of the three different conditions: Pitot pressure = 1.22 Times 105 N/m2, static pressure = 1.01 Times 105 N/m2 Pitot pressure = 7222 lb/ft2, static pressure = 2116 lb/ft2 Pitot pressure = 13107 lb/ft2, static pressure = 1020lb/ft2.