ib wrote::cry:
2.3 tons/yd to 12.3 g/cm how do u do that?
You use a process called Unit Analysis.
Set up the information you know, which is:
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2.3 tons
---------
yard
First, yards, in this case, is actually square yards. In the landscaping/construction trade, the "Square" part is usually left off.
Now, lets look at what it takes to convert what we have to what we want. There are 2000 lbs in a ton, so let's add that in.
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2.3 tons | 2000 lb
---------|---------
yard | ton
There are 453.59 grams per lbs, so add that in:
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2.3 tons | 2000 lb | 453.59 g
---------|--------------------
yard | ton | lb
Now if you cancel things out, we'd get to grams per yard. Lets take care of the denominator now...
There are 27 square feet to a square yard, so:
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2.3 tons | 2000 lb | 453.59 g | yd
---------|---------------------------
yard | ton | lb | 27 ft
there are 30.48 cm to a foot, so:
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2.3 tons | 2000 lb | 453.59 g | yd | ft |
---------|-------------------------------------------
yard | ton | lb | 27 ft | 28316.8 cmÂ³ |
There! Now cancel out the units (Tons/tons cancels, ft/ft cancels, etc...)
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2.3 tons | 2000 lb | 453.59 g | yd | ftÂ³ |
---------|-------------------------------------------
yard | ton | lb | 27 ftÂ³ | 28316.8 cmÂ³ |
and we get:
2.3 * 2000 * 453.59 g
--------------------------
27 *28316.8 cmÂ³
This solves to:
2.7 g/cmÂ³
Which is quite different from the 12.3 g/cmÂ³ you stated originally. I'm at a loss for that.
William J. Knight
Health Physicist
Los Alamos National Labs