Dimensional Analysis & Conversion Factors

In this book, there are six examples involving the concepts of surface area and volume of geometric solids to accurately determine correct dimensions. Three examples regarding three types of financial interest formulas are presented to illustrate the determination of appropriate dimensions. Section 2 presents twelve problems that illustrate the conversion from one unit of measurement (dimension) to another. All the problems in this section illustrate both the conversion of units of measurement and the numerical calculations. In other words, these twelve problems demonstrate a complete dimensional analysis solution. Do you realize the tremendous magnitude of the velocity of light? A complete dimensional analysis is provided here for the speed of light including the distance that light travels in one year. If you were asked to guess the weight of one million one-dollar bills, what estimate would you offer? You may be surprised by the correct answer! Suppose you positioned a billion one-dollar bills end to end. What distance would be necessary to accomplish this event? Have you considered the dimensions of the heavenly kingdom as described by a designer, the sovereign God of all reality? If you counted slowly (one number per second), how long would it take you (with no interruptions) to count to a million? This is another example of our general ignorance regarding the relative magnitude of numbers. It is virtually a certainty that you will discover some thoughts or idea that will interest you among the numerous entries in Section 5.