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Dimensional Analysis

Dimensional Analysis. What is Dimensional Analysis?. Have you ever been to a foreign country? One of the most important things to do when visiting another country is to exchange currency. For example, one United States dollar equals 1535.10 Lebanese Pounds. What is Dimensional Analysis?.

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Dimensional Analysis

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  1. Dimensional Analysis

  2. What is Dimensional Analysis? • Have you ever been to a foreign country? • One of the most important things to do when visiting another country is to exchange currency. • For example, one United States dollar equals 1535.10 Lebanese Pounds.

  3. What is Dimensional Analysis? • Whenever you exchange currency, you are utilizing the scientific method of dimensional analysis.

  4. What is Dimensional Analysis? • Dimensional analysis is a problem-solving method that uses the idea that any number or expression can be multiplied by one without changing its value. • It is used to go from one unit to another. • Dimensional analysis involves multiplication and division.

  5. How Does Dimensional Analysis Work? • A conversion factor, or a fraction that is equal to one, is used, along with what you’re given, to determine what the new unit will be.

  6. “Canceling” out Words

  7. Steps • Start with the given value. • Write the multiplication symbol. • Choose the appropriate conversion factor. • The problem is solved by multiplying the given data & their units by the appropriate unit factors so that the desired units remain. • Remember, cancel like units.

  8. Examples of Conversions • You can write any conversion as a fraction. • Be careful how you write that fraction. • For example, you can write 60 s = 1 min as 60s or 1 min 1 min 60 s

  9. Let’s try some examples together… 2. How old are you in days? Given: 17years Want: # of days Conversion: 365 days = one year

  10. Solution • Check your work… 6205 days 17 years 1 365 days 1 year X =

  11. Multiple-Step Problems • Most problems are not simple one-step solutions. Sometimes, you will have to perform multiple conversions. • Example: How old are you in hours? Given: 17 years Want: # of days Conversion #1: 365 days = one year Conversion #2: 24 hours = one day

  12. Solution • Check your work… 17 years 1 365 days 1 year 24 hours 1 day X X = 148,920 hours

  13. First- learn the metric prefixes 1 kilometer = 1000 meters 1 kiloliter=1000liters 1 meter = 100 centimeters 1 liter = 1000 milliliters 1 meter = 1000 millimeters 1centimeter = 10 millimeters 1 Kilogram = 1000 grams 1 gram = 1000milligrams Be able to use a chart for the others!

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