This program considers the idea that circular motion must imply a force or component of a force toward the center of a circle, as in the Newtonian theory of how the Moon orbits the Earth. The reasons why bicyclists lean during turns, why roads are banked, and why car tires react as they do during a turn are investigated. (36 minutes)

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Part of the Series : Math in a Box



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		Modeling Vectors Employing diverse examples such as trains and water slides, this program illustrates the use of vectors to represent forces operating in both two and three dimensions. The algebraic manipulation of vectors in modeling problems is featured. (24 minute...(more details)
		Parachuting: Moving Bodies with Constant Mass 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 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 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)
		Rockets and Avalanches: Moving Bodies with Variable Mass In this program, footage of rockets blasting off and avalanches roaring down mountainsides provides two perspectives of the same principle: the rate of change of momentum. Practical calculations of the time it takes for a rocket to lift off and the t...(more details)

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