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Beginner's Guide to Aerodynamics
Drag Equation - Level 2
Answers


In Drag Equation Level 1, our pilot flew his first aircraft of the day. If you have not already done so, you may want to go to this activity first to prepare you for the second flight.

  1. Since the type of aircraft has changed, so has it's wing area. Once again, in order to work with our drag equation, we first need to find it's wing area. NOTE: Find the areas of each common figure and obtain their sum. You may assume the 2 right triangles are congruent.
    Wing measuring 14 point 8 at top, 26 point 6 on the sides, and 8 point 8 at tip.

    Work: Using the Pythagorean theorem, length of the rectangle = 26.4 m
    Total area = A(rectangle ) + 2 x A(triangle) + A(semicircle)
    Total area = 8.8 x 26.4 + 2 x 1/2 x 3 x 26.4 + 1/2 x 3.14 x 4.42 = 341.92 m2 for one wing
    683.84 m2 for both wings

  2. The drag coefficient for our second aircraft was calculated at .365. When the pilot reached the desired cruise speed of 400 mph, the air density was .00052 slugs/cu. ft. What was the aircraft's thrust? NOTE: From the units table in Drag Equation Level 1, you must first convert the area to the proper units. (1 inch = 2.54 cm.)
    Unit Conversion: 1 ft = 30.48 cm = .3048 m. therefore, 3.28 ft = 1 m or 10.76 ft2 = 1m2
    683.84 m2 x 10.76 ft2/m2 = 7358 ft2
    Calculation: At cruise, F = D = Cd x r x V2/2 x A = .365 x .00052 x (4002 \2) x 7358
    111,700 pounds of thrust
  3. The thrust of the first aircraft the pilot flew (Drag Equation - Level 1) under these same conditions is 150,000 pounds. If the 2 aircrafts weigh the same, which plane is more efficient?
    The second aircraft since the Lift to Drag ratio would be higher. (At cruise, Lift = Weight and Drag = Thrust)


Related Pages:
Standards
Activity
Worksheet
Aerodynamics Activity Index
Aerodynamics Index

 

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Editor: Tom Benson
NASA Official: Tom Benson
Last Updated: Thu, Jun 12 04:39:25 PM EDT 2014

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