Please NACA 1135 Table for reference in this problem. This is for an Intro to Gas dynamics class.

. Note: In all of these problems, you can make the perfect-gas assumption, and take air to have y = 1.4 and R = 287 J/kg K. 1. For the purposes of the course, we highly recommend using the tables in NACA 1135 as a tool for performing calculations (quickly) and learning about the trends dictated by the underlying equations. It is important to realize, however, that the tables only provide you so many significant figures. Hence, whenever you work on an engineering problem that involves compressible flows later in your career, please use the equa- tions instead of the tables, because the equations provide the exact answer up to the assumptions made to derive them. Please find a good scan of the NACA 1135 document on Canvas. Familiarize yourself with table I and II as follows: a) Report the equations in NACA 1135 used to calculate the quantities in the 2nd, 3rd and 4th columns, counting from the left. b) Besides the adiabatic/isentropic flow assumptions, what additional assumption is implemented in the NACA 1135 tables? Accordingly, describe an example for which the tables are specialized and an example for which the tables cannot be used. c) In order to discern a total value from a static value for a fluid particle, for example the difference between Tt (written as To in class notation) and T, something has to be done to the particle. What action must be performed on the particle and what quantity must be kept fixed while applying the operation? d) Find the Mach number for which each of the entries in the 2nd through 4th column is closest to the value 0.0035, i.e. we are looking for 3 Mach numbers here, one for each column