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Dimensional Analysis

Dimensional Analysis. What is dimensional analysis?. Also called factor label or unit conversions. Taking the units you are given (grams, feet, meters, etc.) and translating to other units. Example: How many feet are in 30 meters ?. What is dimensional analysis?. Basic math

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Dimensional Analysis

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  1. Dimensional Analysis

  2. What is dimensional analysis? • Also called factor label or unit conversions. • Taking the units you are given (grams, feet, meters, etc.) and translating to other units. • Example: • How many feet are in 30 meters?

  3. What is dimensional analysis? • Basic math • Multiplication • Division • Setting up an equation using what you know to get the desired units as an answer.

  4. Example 1 • How many seconds are in one day?

  5. Example 1 • How many seconds are in one day? • 60 seconds in 1 minute • 60 minutes in 1 hour • 24 hours in 1 day

  6. Example 2 • How many hours are in a year?

  7. How about going for hours per year, using the fact there are 365 days in a year?

  8. How about going for hours per year, using the fact there are 365 days in a year?

  9. Example 3 • How many inches are in 6 feet?

  10. Example 3 • How many inches are in 6 feet? 6 feet

  11. Example 3 • How many inches are in 6 feet? 6 feet 72 in

  12. Example 4 • How many meters are in 66 feet? • 1 meter = 3.3 feet

  13. Example 4 • How many meters are in 66 feet? • 1 meter = 3.3 feet

  14. Example 4 • How many meters are in 66 feet? • 1 meter = 3.3 feet 20 m

  15. Metric Conversions

  16. Example 1 • How much does a 30mg pill weigh in decigrams?

  17. Example 1 • How much does a 30mg pill weigh in decigrams? 0.3 dg

  18. Example 2 • How many kilometers did I run if I ran 400 meters?

  19. Example 2 • How many kilometers did I run if I ran 400 meters? 0.4 km

  20. Example 3 • Your cross country skis are 2100 mm long. What is their length hm?

  21. Example 3 • Your cross country skis are 2100 mm long. What is their length hm? 0.21 hm

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