Question: Write a MATLAB program to answer the following questions assuming that the object is an aircraft. For this problem, you may assume that Mach 1

Write a MATLAB program to answer the following questions assuming that

Write a MATLAB program to answer the following questions assuming that the object is an aircraft. For this problem, you may assume that Mach 1 is equivalent to a velocity of 340 m/s, and that 1 g = 9.81 m/s2 . Print results for parts (a), (b), and (c) in the command window with appropriate units.

a. Suppose that the aircraft is moving at Mach 0.70 (70% of the speed of sound). If the centripetal acceleration is 2 g, what is the turning radius of the aircraft?

b. Suppose that the speed of the aircraft increases to Mach 1.6. What is the turning radius of the aircraft now?

c. Suppose that the maximum acceleration that the pilot can stand is 7 g. What is the minimum possible turning radius of the aircraft at Mach 1.6?

d. Plot the turning radius as a function of aircraft speeds for speeds between Mach 0.5 and Mach 2.0, assuming that the acceleration remains 2 g. In the same figure window (but not on the same plot), plot the turning radius as a function of centripetal acceleration for accelerations between 1 g and 8 g, assuming that the aircraft speed remains Mach 1.6. The plots should have a title and appropriate axes labels, including units. 2

e. Plot the turning radius as a function of aircraft speeds for speeds between Mach 0.5 and Mach 2.0 for centripetal accelerations between 2 g and 8 g in increments of 1 g. Label the graphs and axes appropriately, including units. Include a legend indicating which line corresponds to which centripetal acceleration value

Problems: 1 Aircraft Turning Radius: An object moving in a circular path at a constant tangential velocity is shown in the diagram below. The radial acceleration required for the object to move in the circular path is given by the equation v2 where a is the centripetal acceleration of the object in m/s2, v is the tangential velocity of the object in m/s, and r is the turning radius in meters. Write a MATLAB program to answer the following questions assuming that the object is an aircraft For this nrohlem vou mav assume that Mach 1 is eauivalent to a velocitv of 340 m/s

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