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Unit Analysis

Unit Analysis. Supplement to Math 60. Unit Analysis. Alternate names for the same process. Unit Conversions. Factor Label Method . Unit Factor Method. Related process . Dimensional Analysis. Unit analysis uses the same concept as “equivalent

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Unit Analysis

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  1. UnitAnalysis Supplement to Math 60

  2. Unit Analysis Alternate names for the same process Unit Conversions Factor Label Method Unit Factor Method Related process Dimensional Analysis

  3. Unit analysis uses the same concept as “equivalent fractions.” Multiplying a quantity by a value equivalent to 1 changes the looks of the quantity without changing its fundamental value.

  4. The process of unit analysis focuses on creating the necessary units to answer a question. Example: How many feet in a 360 inches? In order to answer the question, I need to know a “conversion fact.” In this case, the fact is 1 foot = 12 inches. Start with the value we are “converting” (writing it as a fraction is VERY helpful). Always, always, always include the units. This is required. Now, multiply the starting value by the conversion fact written as a fraction. Now, it’s just arithmetic.

  5. The question is: how do I know how to write the conversion fact? What goes on top? • You must arrange the conversion fact so the units “drop out.” • In the previous example, reversing the top and bottom wouldn’t work because the units don’t get eliminated.

  6. Example: How many centimeters are there in 23 feet? The conversion facts needed are: 1 in = 2.54 cm 1 ft = 12 in The determination of the conversion facts requires you to “figure out” how am I going to get from cm to ft with the conversions facts I easily know. Note: It is NOT acceptable for you to look up a conversion; although they are readily available on the internet. The whole point is for you to be able to figure it out knowing just a few facts.

  7. Rewrite 3521 mL as quarts The conversion facts needed are: 1tsp = 5mL 1c = 48tsp 4c = 1qt Rounded to the hundredths place this is 3.67 qt.

  8. Last example convert 60 mph to kilometers per hour, round to the nearest hundredths Conversion factsneeded 1mi=1760yd Kmph is the common abbreviation for

  9. Now its your turn Katelyn can bicycle at a rate of 100 yards in 15 seconds, what is her rate in miles per hour? (round to the tenths) Necessary conversions: 1mi = 1760yd 1min = 60sec 1hr = 60min = 13.6 mph

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