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This guide introduces the concepts of dimensional analysis and unit conversion. Learn how to convert measurements like distances, time, and volume using basic unit equivalencies. Discover practical examples including converting yards to feet, days to years, and various other units. Understanding these conversions helps in various fields such as science, engineering, and everyday calculations. With clear explanations and step-by-step procedures, this resource is designed to enhance your skills in unit conversion and dimensional analysis.
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Objectives • Convert from one unit to another unit.
Basic Unit Equivalencies Distances • 12 inches = 1 foot • 3 feet = 1 yard • 5280 feet = 1 mile
Basic Unit Equivalencies Distances • 1000 meters = 1 kilometer • 100 centimeters = 1 meter
Basic Unit Equivalencies Times • 60 seconds = 1 minute • 60 minutes = 1 hour • 24 hours = 1 day
Basic Unit Equivalencies Times • 12 months = 1 year • 52 weeks = 1 year • 365 days = 1 year
Basic Unit Equivalencies Times • 4 quarters = 1 year • 2 semiannual periods = 1 year • 1 biannual period = 2 years
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.
Use dimensional analysis to convert 350 feet per second to miles per hour.
Use dimensional analysis to convert 9 square feet to square inches.
Use dimensional analysis to convert 782 cubic inches to cubic yards.
Given 15 porks per 2 pigs and 5 pigs per 3 pokes, convert 40 porks to pokes.
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.