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Dimensional Analysis

Learn to convert units using dimensional analysis and basic unit equivalencies for distances and times. Practice converting yards to feet, days to years, feet per second to miles per hour, square feet to square inches, and more!

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Dimensional Analysis

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  1. Dimensional Analysis

  2. Objectives • Convert from one unit to another unit.

  3. Basic Unit Equivalencies Distances • 12 inches = 1 foot • 3 feet = 1 yard • 5280 feet = 1 mile

  4. Basic Unit Equivalencies Distances • 1000 meters = 1 kilometer • 100 centimeters = 1 meter

  5. Basic Unit Equivalencies Times • 60 seconds = 1 minute • 60 minutes = 1 hour • 24 hours = 1 day

  6. Basic Unit Equivalencies Times • 12 months = 1 year • 52 weeks = 1 year • 365 days = 1 year

  7. Basic Unit Equivalencies Times • 4 quarters = 1 year • 2 semiannual periods = 1 year • 1 biannual period = 2 years

  8. Basic Idea Behind Converting Multiplying by 1 does not change a number. We just need to pick the right form of the number 1 to multiply by.

  9. Use dimensional analysis to convert 8 yards to feet.

  10. Use dimensional analysis to convert 520 days to years.

  11. Use dimensional analysis to convert 350 feet per second to miles per hour.

  12. Use dimensional analysis to convert 9 square feet to square inches.

  13. Use dimensional analysis to convert 782 cubic inches to cubic yards.

  14. Given 15 porks per 2 pigs and 5 pigs per 3 pokes, convert 40 porks to pokes.

  15. Given 13 morks is 1 gloe, 5 gloes is 1 flit, 7 kits is one lonk, and 10 lonks is 1 gall. Convert 90 morks per kit to flits per gall.

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