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Complex Conversions Using Dimensional Analysis
Transcript of Complex Conversions Using Dimensional Analysis
dimensional analysis: For example: Why not KHDBDCM? Finding how many seconds
are in a day
When converting from 1 unit of
measurement to another unit Complex Conversions Using Dimensional Analysis seconds is one unit
day is another unit KHDBDCM
Is used only when converting within the metric system
Remember that the metric system
has patterns which makes converting easy!
ex: cm to m
g to kg BUT SECONDS AND DAYS ARE NOT IN THE METRIC SYSTEM Dimensional analysis is used when converting
within the ENGLISH system
So we have to use dimensional analysis Feet
etc... ENGLISH SYSTEM = NO PATTERNS EXAMPLE:
centimeters to inches We can also use to dimensional analysis
to convert from the English system to the Metric system... or vise-versa Their are a few easy rules...
1) Draw a t... like this... But... HOW does it work? Ex: How many seconds are in
Well--- the only information given is 3 minutes.
So-- that is where we will start!
3 min The unit you are GIVEN always starts
at the starting line of the t. Ex: How many seconds are in 3 minutes? We will END in whatever unit we
are solving for...
In this case it is seconds. We will place the unit sec (for seconds) in the very last space.
Note: EVERYTHING SO FAR IS ON THE TOP LINE 3 min sec We must go from our starting unit to our ending unit.
Usually these conversion factors are given to us
So... we know that there are 60 seconds in a minute...
we must cancel out the starting unit (minute) by dividing by it. Since 1 minute = 60 seconds... we divide by 1 minute. The last step is to fill-in the in between information.... 3 min 60 sec
1 min Like Below: Starting
unit Ending unit Unit must match 3 min 60 sec = (60x3)/1 VERY LAST STEP...
MULTIPLY ALL numbers on top
DIVIDE by ALL numbers on the bottom 1 min = 120 seconds For Example:
How many minutes are in 5 days? Sometimes you will need to go through multiple units...
If so, just extend your 't' and remember to CANCLE your units. 5 day 24 hr 60 min
1 day 1 hr
given ending... want to know = (5x24x60)/1
= 7,200 minutes (in 5 days) IT IS VERY IMPORTANT TO KNOW AND UNDERSTAND
HOW TO USE THE METHOD OF DIMENSIONAL ANALYSIS.
YOU ARE CONVERTING UNITS YOU ARE FAMILIAR WITH NOW...
BUT SOON YOU WILL BE CONVERTING UNITS YOU HAVE NEVER HEARD OF...
EVENTUALLY YOU WILL HAVE TO USE THIS METHOD... SO LEARN IT NOW!!! THIS IS EASY...
WHY DO I NEED TO KNOW IT? Try this video...
OR/AND see me during tutorial A tomorrow!! If you do not get it... http://www.youtube.com/watch?v=lAan6L9UjsE