dimensional-analysis-unit-conversion-problems

How do you convert miles per hour into feet per second. This can be done by using dimensional analysis. Dimensional analysis uses unit conversions in order to move from one unit to another. This video is a starter video on dimensional analysis because the conversions only require one step. I have another video involving three steps.

Transcript

Hello welcome to MooMooMath were we upload a new Math video everyday. What I would like to work today is unit conversion, also called dimensional analysis. This is where you convert one unit to another. Let's jump right in. You have traveled 6072 feet in one hour and you would like to know what that is in miles per hour. The way I solve these is I first right down my goal unit. My goal unit is miles per hour. What I have to do next is figure,how do I get feet per hour to miles per hour? I then look at my two units and I see hours is ok, because you multiply from left to right. I need to convert my feet, so I need to figure out how to cancel the feet, and to cancel, you can put your feet on the other side and look at your goal and it will give you a hint as to the top unit should be, and it will be miles. What I do next is put a 1 by the larger unit and miles are larger than feet. I will put a 1 at miles and I then ask myself " If I have 1 mile, how many feet is this? " It takes 5280 feet to equal one mile. I have it set up because the feet will cancel, and I'm left with miles an hour and just multiply across. 6072 x 1 = 6720, 5280. I then divide 6072/5280 and that equals 1.15 miles an hour is my unit of measure. Let's set up another one and this one I'm going to solve, if I can travel 27 miles in one hour, how far will I run in one minute? miles/minute is our goal. Now, which unit of measure do I need to get rid of? The miles are on top, these first couple I will work only involve one step, in other videos I will complete two and three steps. I now ask myself " how can I get rid of the hours?" I look at the goal for a clue and see the miles. I next place a 1 by the larger unit, and in 1 hour you will have 60 minutes. I then take 27 x 1 and 1 x 60. I can convert this to a decimal and it equals .45 miles a minute. Hope that helps,thanks for watching and remember we upload a new Math video everyday. Please subscribe.

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Tagged under: rate,conversion,conversion factor,Units Of Measurement (Literature Subject),Dimensional Analysis,convert measurements,converting measurements

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