Dimensional Analysis - Unit Conversion with Multiple Conversion Factors

Dimensional Analysis is just converting from one unit to another.
These problems involve setting up multiple conversions in order to reach your goal.
Problem: If I can travel 17 cm in a minute, how many meters can I travel in an hour?
I want to know how my distance in meters per hour.

When I look at this we have minutes and meters so I know I will have two conversions. I need to get meters on top. I will put centimeters on bottom, and put miles on top because that is our goal. I next ask “which is larger, meters or centimeters?" 1 meter = 100 centimeters.

Then I need to get hours on the bottom, and get rid of the minute. In order to get rid of the minute I will put minutes on top, and hours on the bottom, and get rid of the minute, and hours on the bottom. Hours are larger than minutes so I will place a 1 by minutes, and a 60 by minutes because there are 60 minutes in 1 hour. Let's see what cancels, and then we have the minutes cancel and we are left with meters and hours. Now we just complete the math and 17 x 60 = 1020, and on the bottom 1 x 100 x 1 = 100. We divide 1020 by 100 and that equals 10.20 meters per hour.

There you go, an example of dimensional analysis. Hope that helps. Please subscribe. Remember, MooMooMath uploads a new video every day. Thanks for watching.

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[broombroombrandon]

Great video, only problem is your math for 14 X 16 is incorrect.