FoilSim

Characteristics of Lift and Wing Area

Activity


If so instructed by your teacher, print out a worksheet page for these problems.

  1. Use FoilSim to answer the following questions :
    1. You are flying a 10,000 pound airplane( this includes personnel and cargo) at an altitude of 2,000 feet. The wings have an angle of attack of 5 degrees, a camber of 8.75%, a thickness of 15%, and an area of 100 square feet. What airspeed should you attain to have to maintain your altitude? 156.4 mph
    2. Your plane drops 1,500 pounds of supplies to relief workers. Enter your new weight. What angle of attack will maintain your altitude of 2,000 feet?
    3. Weight = 8,500 pounds -- angle = 2.93 degrees
    4. You make another drop of supplies, this time 750 pounds of food. To what value should you change your wing area to maintain your altitude of 2,000 feet?
      Weight is now 7,750 pounds -- area = 88.3 sq ft.
  2. The wings of the airplane you are flying are shaped like the right triangle below.
  1. The total area for both of your wings is your answer in 1c. Knowing the area of a triangle = 1/2 base x height. What is the length of the base if the height of the wing is 5 feet? Area of 2 wings = 88.3 sq ft, area of 1 wing = 44.15 sq ft. A = .5 b h, h = 5, b = 17.66 feet.
  2. Suppose the total area is 120 square feet, and the base of 1 wing is 20 feet. What is the height?
    Area of 2 wings = 120 sq ft, area of 1 wing = 60 sq ft. A = .5 b h, b = 20, h = 6 feet.
  1. Set these initial conditions:

    Airspeed: 100 mph

    Altitude: 20,000 feet

    Angle: 1.5 degrees

    Thickness: 5%

    Camber: 3.75%

    Select 10 different values of Area between 200 and 700 square feet and record the corresponding values of Lift.

    Answers will vary .. here's a sample
Area (sq. ft.)
Lift (lb.)
200
1750
250
2188
300
2626
350
3063
400
3501
450
3939
500
4376
550
4814
600
5252
650
5690
675
5908
700
6127
  1. Graph Lift vs. Area with the values you obtained.
  2. What did you notice about the line connecting the points you graphed? Graph is a straight line.
  3. From your graph determine the amount of lift you would generate if you had an area of 550 square feet. Check your answer by entering 550 square feet for the area and observing the amount of lift generated. Area = 550, lift = 4814 pounds

 




Please send any comments to:
Curator:
Tom.Benson@grc.nasa.gov
Responsible Official: Kathy.Zona@grc.nasa.gov