Getting a Little "Lift"out of Calculus
A FoilSim Activity - Part I

Subject Area:

Pre-calculus and Calculus

 

Grade Level:

11-12

 

National Mathematics
Standards:

 
  • Apply integrated mathematical problem-solving strategies to solve problems from within and outside mathematics.
  • Read written presentations of mathematics with understanding.
  • Judge the validity of arguments.
  • Recognize the equivalent representation of the same concept.
  • Use tables and graphs as tools to interpret expressions, equations, and inequalities.
  • Model real-world phenomena with a variety of functions.
  • Understand the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of a tangent line, and their applications in other disciplines.

 

Objectives:

 

After entering the given conditions into FoilSim, apply calculus techniques to verify predictions.

Accurately apply scaling to a problem-solving situation.

 

Assessment:

 

You, or you and your partner(s), will be evaluated on the accuracy or feasibility of your answers.

Evaluation:

 

Using basic integration techniques, verify the total lift of an airfoil as calculated by FoilSim for a given set of conditions.

Submitted by:

 

Jim Zaborowski, Physics and Mathematics, Urbana High School, Urbana, Ohio

Note:

If printing from a Macintosh system, it is suggested that you access the page setup menu and adjust print size to 75%.

TO Calculus Intro Page and Other Links

 

 


Please send any comments to:
Web Site Related: Dale Morris (Dale.J.Morris@grc.nasa.gov), Technology Related: Tom Benson(Tom Benson@lerc.nasa.gov)