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Dimensional Analysis
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Every measurement must have a unit
Without units nothing makes sense If I said I was 12 tall. What would that mean to you?
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Sometimes when working with numbers with different units, you have to convert so the units are the same. We use dimensional analysis. (aka factor label method) Essentially you multiply by a fraction that is equal to 1 The value of the number is not changed…only the units
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The numerator and the denominator of the fraction must be equal.
6ft =______ in
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1in= 2.54cm 5280ft= 1mi 13.5in =_______cm 8,241ft =______ mi
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1in= 2.54cm 5280ft= 1mi 1yard= 3ft Sometimes it takes more than one factor to get to the correct unit. 300yards = ________mi 2.1mi =______cm
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Sometimes you have compound units and both must change.
Arrange the factor so that what you want to get rid of will cancel out. 12 mi/hr =_______ mi/min 360ft/s =______mi/hr
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It doesn’t even matter if you understand what the units mean
1 gluk = 2.5zip blag= 7mulk zip = 5 mulk 23gluk =_____ blag 15blag/hr=_______zip/min
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