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Beginner's
Guide to Aerodynamics
Calculating Range for a Constant Velocity
Subject Area:
Mathematics
Grade Level:
7-8
National Mathematics
Standards:
- Mathematics
as Problem Solving: Formulate problems from within and outside mathematics.
- Mathematics
as Communication: Use skills of reading, listening, and viewing
to interpret and evaluate mathematical ideas.
- Mathematical
Connections: Apply mathematical thinking and modeling to solve problems
that arise in other disciplines.
- Computation
and Estimation:
- Use computation,
estimation, and proportions to solve problems.
- Use estimation
to check the reasonableness of results.
- Patterns and
Functions: Analyze functional relationships to explain how a change
in one quantity results in a change in another.
- Algebra:
- Understand
the concepts of variable, expression, and equation.
- Apply algebraic
methods to solve a variety of real-world and mathematical problems.
National Technology
Standards:
- Technology productivity
tools: Use content-specific tools, software and simulations (e.g.,
environmental probes, graphing calculators, exploratory environments,
Web tools) to support learning and research; apply productivity/multimedia
tools and peripherals to support personal productivity, group collaboration,
and learning throughout the curriculum.
- Technology communications
tools: Collaborate with peers, experts, and others using telecommunications
and collaborative tools to investigate curriculum-related problems,
issues, and information, and to develop solutions or products for audiences
inside and outside classroom.
- Technology research
tools: Use content-specific tools, software and simulations (e.g.,
environmental probe, graphing calculators, exploratory environments,
Web tools) to support learning and research; collaborate with peers,
experts, and others using telecommunications and collaborative tools
to investigate curriculum related problems, issues, and information,
and to develop solutions or products for audiences inside and outside
classroom.
- Technology problem-solving
and decision making tools: Apply productivity/multimedia tools and
peripherals to support personal productivity, group collaboration, and
learning throughout the curriculum; select and use appropriate tools
and technology resources to accomplish a variety of tasks and solve
problems.
Objective:
After reading
an explanation from the NASA Web-based "textbook", The Beginner's Guide
to Aerodynamics, you will use the information in combination with
data from other Web sites to solve single variable equations for distance
(range), time, and velocity.
The Beginner's Guide
to Aerodynamics is an on-line "textbook" developed by the NASA Glenn Research Center
in Cleveland, Ohio. Click on the Beginner's
Guide Index to access the list of slides. Open the slide called Range
- Constant Velocity. Read the information on this page. Pay special
attention to the four forces affecting an airplane. Open the link Unbalanced
Forces and observe the animation of how flight is affected by the change
in these forces. When these force are equal, the airliner is said to be
a Cruising Airliner and velocity
is a constant. If we assume the condition of a cruising airliner, then we
can calculate velocity, distance (range), and time using the equation given
on the top of the Range page. This
equation is d = V t .
Assessment:
You, or you
and your partner(s), will be evaluated on the feasibility of your answers.
Evaluation:
Using the
information presented in the Beginner's Guide in combination with data
collected from other Web sites, you will solve equations for the variable
of distance (range), time, or velocity when the other two variables are
known.
Submitted by:
Joseph Dannemiller, University of Akron, Akron, Ohio.
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