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This program shows that a single mathematical model can describe the take-off of a wide variety of aircraft, running the gamut from a single-engine trainer to the Concorde. Because the search for approximations is somewhat complex, graphical notation is employed to reveal the interaction and variation of the forces involved. (26 minutes)



 
                    

Item#: This title is currently not available.
Copyright date: ©1999



Part of the Series : Math in a Box
     


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Parachuting: Moving Bodies with Constant Mass
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This program uses a parachutist to demonstrate the effects of drag on the force of gravity, showing how to make mathematical approximations and how the resultant forces can be equated to the product of mass and acceleration. A first-order differentia...(more details)
 
Bows, Arrows, and Aircraft Carriers: Moving Bodies with Constant Mass
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In this program, geometry is combined with approximation to solve relatively complex problems involving shooting an arrow and landing an airplane on the deck of an aircraft carrier. Emphasizing the value of sketching as a visualization tool, the prog...(more details)
 
Kites: Modeling with Vectors
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After defining the basic concepts of vectors, this program uses algebra to determine how the resultant of numerous forces acting on a body can be obtained and then equated to the product of mass and acceleration. Kites are employed to exemplify both ...(more details)
 
Impulse: Moving Bodies with Variable Mass
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Using Newton's second law and a balloon-powered toy car, this program examines how impulse relates to the change in momentum and how the rate of that change equates to the resultant force. In addition, the exhaust velocity of the jet-propelled car is...(more details)
 
Resonance: Simple Harmonic Motion
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In this program, resonance is examined. The value of mathematical models is demonstrated through the physics of applying a time-varying force to a body that fundamentally exhibits simple harmonic motion. Solution techniques for general linear second-...(more details)
 


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