Wind Tunnels. A wind tunnel is a test chamber built to generate different wind speeds, or...

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 plotted in Figure and are listed in the following table:

Figure Wind tunnel data.

Modify the program developed in Problem so that it interpolates for a new angle, instead of a new coefficient. Therefore, the user would enter the data for two points and a coefficient of lift between those two points. The program should then compute the corresponding angle in degrees.

Problem

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 plotted in Figure and are listed in the following table:

Figure Wind tunnel data.

Assume that we would like to use linear interpolation to determine the coefficient of lift for additional flight-path angles that are between –4 degrees and 21 degrees. Write a program that allows the user to enter the data for two points and a flight-path angle between those points. The program should then compute the corresponding coefficient of lift.