Force for Takeoff
Problem or "Will the airplane get off the ground?" If so instructed by your teacher, print out a worksheet page for these problems. Materials needed:
The situation: Given a Boeing 737 carrying 150 passengers: Use a weight of 140000 pounds for the Boeing 737. This weight allows for the inclusion of the internal components of the airplane (engine, fuel tanks, landing gear, etc.), the total weight of the passengers, and the total weight of their luggage and cargo.
Access FoilSim and set the following conditions:
Creating the data set: Input various values for the airspeed of the airplane. Each time an airspeed is entered, FoilSim will calculate the lift. Generate a set of airspeed and lift values. Record these values on the table on the Forces for Takeoff Worksheet or make a printout of them. When the set of values is complete, enter these values into the calculator using the stats or data mode. Using the data set: Step 1. Create a scatter plot comparing airspeed and lift. Consider the look of the plot and determine a regression equation that seems to best fit. State an opinion as to:
Step 2. The amount of force it will take to lift the Boeing 737 off the ground can be calculated using Net Force = Lift - Weight. Create the third column of the calculator "spreadsheet" by calculating the respective net force values. There is an easy way to do this. State (in writing) the method used to create this set of values. Step 3. Turn off the "airspeed vs. lift" plot and graph. Then create a scatter plot comparing airspeed and net force. Consider the "airspeed vs. net force" plot. State an opinion on:
Step 4. Turn off the "airspeed vs. net force" plot (and graph if created). Turn on the "airspeed vs. lift" graph. Then enter an equation for the total weight of the airplane and its passengers. Find the intersection of these two graphs. What is the meaning of the intersection? Step 5. Keep the graph of "airspeed vs. lift" and the graph of the total weight turned on. Turn on the plot or graph of the "airspeed vs. net force." Compare/contrast these graphs. Step 6. Summarize the information provided by the "airspeed vs. lift" and the "airspeed vs. net force" plots or graphs. Include the following:
Step 7. Use the World Wide Web to access the Forces on an Airplane slide. Compare and contrast the lift and the net force needed to allow an aircraft to leave the ground. Describe the factors that affect lift. |
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Curator: Tom.Benson@grc.nasa.gov Responsible Official: Kathy.Zona@grc.nasa.gov |