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Velocity Effects Answers
 
  1. Go to the Foilsim Software Program and set initial conditions as follows: Airspeed(velocity) = 50 km/h, Altitude = 5000 m, Angle = 1 deg , Thickness = 12.5, Camber = 12.5, Area = 5 sq. m.

    What is the Lift? 595 Newtons

  2. Change the velocity(airspeed) as shown in the following table and record the associated lift for each velocity to complete the table.
    Velocity(km/h) - Airspeed
    Lift(Newtons)
    50
    595
    100
    2,378
    150
    5,351
    200
    9,513
    250
    14,860
    300
    21,400
    400
    38,050
    TABLE 1
  3. Construct a graph of Velocity's effect on Lift with an Independent Variable(X) of Velocity and a Dependent Variable(Y) of Lift. Label each axis correctly to include units. Print out graph from Foilsim Program...
  4. What is the shape of the curve formed by this relationship? Parabolic Shape

     

  5. Write the equation for this relationship! y = cx2__Where y = lift, and x = airspeed_and c = a constant

     

  6. What is the value of the constant in this equation for this set of conditions?

    C = .23784 Newtons/kph2

     

  7. Interpolate the lift for a velocity of 350 kph. What is the lift? 29,130 Newtons

     

  8. Extrapolate the lift for a velocity of 500 kph. What is the lift? 59,460 Newtons

     

  9. Based on the relationship between lift and velocity, how would you increase the lift on a wing? Increase the Velocity

  10. Set the initial conditions provided in Problem 1 above and assume: g = 9.8 m./sec.2 at this elevation; total weight of airplane, cargo, and fuel = 5000 kg.; weight of airplane = 3000 kg. ; weight of cargo and fuel = 2000 kg. Use the equation for lift that you generated in Problem 5 to answer these questions:
    1. What is the lift in Newtons required to maintain altitude in these conditions?

      49,000 Newtons

    2. What is the velocity that is required to maintain this lift?

      454 kph

     

  11. One hour later all cargo is parachuted off the airplane and 200 kg. of fuel remains.
    1. What is the lift in Newtons now required to maintain altitude?

      31,360 Newtons

    2. What is the velocity that is now required to generate the lift?

      363 kph

       

 

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