Standard Atmosphere Program (MATLAB) 1. Create a program to compute temperature (T), pressure (p), density (p), speed of sound (a), and dynamic viscosity (u) as a function of altitude. Then, create plots of altitude vs. temperature, altitude vs. pressure, altitude vs. density, altitude vs. speed of sound, and altitude vs. dynamic viscosity. The altitude for the program and plots should range from 0 to 232,940 feet e.g., troposphere, stratosphere layer 1. The units for the program and plots are the English (imperial) units (fps: foot-pound-second). Deliverables: computer program or script and plots. 1976 U.S Standard Atmosphere Adiabatic Lapse Rate, B. ('R/t) Base Geopotential Base Geopotential Adiabatic Lapse Rate, Altitude, h, (ft) Altitude, h, (km) B. (K/km) Name Traposphere Stratosphere 0.00 -0.00356616 11 36,089.20 65,616.80 0.0 0.00000000 0.00054864 20 1.0 104.986.90 0.00153619 32 2.8 47 154,199.50 0.0 0.00000000 167,322 80 Mesosphere 51 -2.8 -0.00153619 71 232,939.60 2.0 0.00109728 Ideal Gas Law: p = pRT Speed of Sound: a = yRT Gas constant for air: Rair = 1716.56 = 287.053 s2"R kg K Ratio of specific heats: Yair= 1.4 Sea level conditions on standard day Temperature: To - 59F = 15'C = 518.67*R = 288.15 K Pressure: po = 2116.2 Ibf/ft? = 101325 N/m? (Pa) Density: po = 0.0023769 slug/ft3 (Ibf s?/ft) = 1.225 kg/m? Gravitational acceleration: g. = 32.174 ft/s? = 9.805 m/s? Troposphere: 0shs 36.089.2 ft air Temperature: T(h) = T,(1 +h) Density: p(h) = P. ) FIRair Pressure: p(h) = P.) Tropopause: hi = 36,089.2 ft Temperature: T1 = -69.7F = 389.97*R Pressure: pi = 472.69 lbf/ft2 Density: pi = 7.06081x104 slug/ft Stratosphere, Level 1: 36,089.2 sh s 65.619.8 ft Temperature: TI = -69.7*F = 389.97*R -((n-A,) -(a-n) Pressure: p, (h) = Pie Density: P, (h) = Pe 7Rair/ 7Rair