Dimensional Analysis and Conversions for Effective Problem Solving

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Explore the concept of dimensional analysis and conversions through practical examples and complex calculations. Learn how to convert different units and quantities efficiently using factor-label analysis. Enhance your problem-solving skills in a structured manner with clear steps and practice exercises.

  • Dimensional Analysis
  • Conversions
  • Factor-Label Analysis
  • Problem Solving
  • Units

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Presentation Transcript


  1. CONVERSIONS AND DIMENSIONAL A.K.A. Factor-Label ANALYSIS

  2. CONVERSIONS Ratio of equivalent measurements

  3. DIMENSIONAL ANALYSIS WHAT IS IT? Converting a known quantity into an unknown quantity using conversion factors Using units to help you get to the answer Steps: What is the known/given quantity? What is the unknown quantity? What conversion factors do I know to help?

  4. EXAMPLE How many yards are equivalent to 75 inches?

  5. PRACTICE Convert 5.5 km to m. Convert 3.4 x107mg to kg.

  6. COMPLEX CONVERSIONS Convert 75 m/sec to km/min. Convert 42.1 cm3 to m3.

  7. PRACTICE WITH COMPLEX CONVERSIONS Convert 15 m/sec to km/hr. Convert 12 m3to mm3.

  8. PRACTICE! Convert 43nm to km. Convert 31g/L to kg/cm3. Convert 40cm3 to m3.

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