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Material Type: Notes; Class: Western Civilization I; Subject: History; University: Capital Community College; Term: Unknown 1989;
Typology: Study notes
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The LTAs and Spinoffs are designed so that each professor can implement them in a way that is consistent with his/her teaching style and course objectives. This may range from using the materials as out-of-class projects with minimal in-class guidance to doing most of the work in class. The LTAs and Spinoffs are amenable to small group cooperative work and typically benefit from the use of some learning technology. Since the objective of the LTAs and Spinoffs is to support the specific academic goals you have set for your students, the Faculty Notes are not intended to be prescriptive. The purpose of the Faculty Notes is to provide information that assists you to take full advantage of the LTAs and Spinoffs. This includes suggestions for instruction as well as answers for the exercises.
**NASA - AMATYC - NSF
Analyzing Graphs
Spinoff 14C mostly concerns creating and interpreting graphs. The Spinoff might best be used as a homework assignment. It addresses not only the mathematics of linear, cubic, exponential, and trigonometric functions, but also provides a reading assignment that puts the mathematics into context. Along with having to read about a real world design problem, there is a writing assignment. The latter involves interpreting graphs based on design criteria for a working controlled release mechanism.
Solutions
Concept A = 14,285 lbs. Concept B = 31,775 lbs. Concept C = 9,413 lbs.
Graphing on a TI-85™ and using ISECT, x = 3.5 in and the force is 25,000 lbs.
FrD(0) = 50,000 lbs. FrD(7) = 45.6 lbs. The graph of FrD is shown below.
Writing Assignment Each CRM has an initial restraining force of 50,000 lbs and decreases to less than 100 lbs at x = 7 in. Thus, all Concepts meet the basic requirements. All are smooth, decreasing functions. Concepts A and D are not flat at the beginning, but D does become flat at the end. Not explicitly mentioned, but of interest, is that the area under the restraining curve represents the amount of work done on the CRM by the rocket. That is, the area under the restraining curve represents the amount of the rocket’s energy that is absorbed by the CRM.
Force: Release Mechanism D
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