PROGRAMMING ENGINEERING PROBLEMS Problem I Conversions) This problem involves converting a value in one unit to a value in another unit. The program should prompt the user for a value in the specified units and then print the converted value, along with the new units. (1) Write a program to convert pounds to kilograms. (Recall that I kg = 2.205 lb). The pound value you input/test is 159 lb Problem 2: (Areas and Volumes) This problem involves computing an area or a volume using input from the user. The program should include a prompt to the user to enter the variables needed. (1) Write a program to compute the area of a triangle with baseb and heighth (Recall that Acrca - %* ( b h).) The band h values are 1.8 and 6.7 meters, respectively. Problem 3: (Wind Tunnels) A wind tunnel is a test chamber built to generate different wind speeds, or Mach numbers (which is the wind speed divided by the speed of sound). Accurate scale models of aircraft can be mounted on force measuring supports in the test chamber, and then measurements of the forces on the model can be made at many different wind speeds and angles. At the end of an extended wind tunnel test, many sets of data have been collected and can be used to determine the coefficient of lift, drag, and other aerodynamic performance characteristics of the new aircraft at its various operational speeds and positions. Data collected from a wind tunnel test are listed in the following table: Flight-Path Angle (degrees) Coefficient of Lift - 18 -0056 0.42 0.924 105 1120 1.121 1.121 1099 1.050 DELL