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How do you decide whether to use ft/in or in/ft in a particular problem? the topic...

How do you decide whether to use ft/in or in/ft in a particular problem?

the topic is on UNIT analysis

Math   Statistics-And-Probability   
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Answer #1

Solution: You should use in/ft in UNIT analysis.

We know 12 inches = 1 foot.

So,

Hence,

The factor   is identical to the dimensionless 1, so multiplying by this conversion factor changes nothing. Then when adding two quantities of like dimension, but expressed in different units, the appropriate conversion factor, which is essentially the dimensionless 1, is used to convert the quantities to identical units so that their numerical values can be added or subtracted.

Only in this manner is it meaningful to speak of adding like-dimensioned quantities of differing units.

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