Dimensional Analysis Made Easy

How much wood could a woodchuck chuck, if a woodchuck could chuck 557 kilograms per hour, in an eight hour work day. Give answer in megatonnes.

How much wood could a woodchuck chuck if a woodchuck could chuck 15.5 kilograms per minute in an eight hour work day? Give answer in megatonnes.

Dimensional analysis is not the first thing Mr. Spock does when the Starship Enterprise accidentally travels into a new universe or timeline. That is not what we’re here to learn about today.

Unfortunately. Because that sounds interesting.

Instead, we have what is also commonly called “the factor-label method” and simply “unit conversion.” Dimensional analysis is the method that is used to get an answer in the correct units of measurement in problems relating to math, chemistry, and other physical sciences. At its most simple, it can be solving how many minutes are in two hours, or, on the more complex end, it can be finding how many moles there are in three cubic meters of argon.

So are you stuck on your homework? We’ve assembled a few resources to help you with the factor label method. Continue reading