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Dimensional Amalysis. Discussion questions. What is the meaning of the word DIMENSION? What would dimensional analysis mean for you? Convert 2 dozens eggs into number of eggs. In order to make a conversion we analyze units of measurement. 12 items. 1 dozen. Dimensional Analysis.
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Discussion questions • What is the meaning of the word DIMENSION? • What would dimensional analysis mean for you? • Convert 2 dozens eggs into number of eggs. • In order to make a conversion we analyze units of measurement. 12 items 1 dozen
Dimensional Analysis • When two measurements are equivalent, a ratio of the two measurements equals 1. • 1m = 100 cm • Conversion factor: • is a ratio of two equivalent measurements. • helps to convert a measurement into different units of measurement. 1 m 100 cm Conversion Factors
Example: Convert 0.35 m into millimeters. 1. Find equivalent relationship between meter and millimeter. 1 m = 1000 mm Two conversion factors can be derived:
2. Multiply initial value (0.35 m) by the corresponding conversion factor. Thinking question: Which expression is correct to convert 0.35 m into millimeters? Incorrect Correct
You need to choose the conversion factor so that the initial unit of measurement cancels in the calculation and the necessary unit of measurement remains. • Meters (m) cancel and millimeters (mm) are left.