2.3 tons/yd to 12.3 g/cm

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2.3 tons/yd to 12.3 g/cm

Postby ib » Wed Sep 01, 2004 7:09 am

:cry: :arrow: 2.3 tons/yd to 12.3 g/cm how do u do that?
ib
 

Re: 2.3 tons/yd to 12.3 g/cm

Postby Knight » Wed Sep 08, 2004 12:57 am

ib wrote::cry: :arrow: 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:

Code: Select all
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.

Code: Select all
2.3 tons | 2000 lb 
---------|---------
  yard   |   ton   


There are 453.59 grams per lbs, so add that in:

Code: Select all
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:

Code: Select all
2.3 tons | 2000 lb | 453.59 g |  yd 
---------|---------------------------
  yard   |   ton   |    lb    | 27 ft


there are 30.48 cm to a foot, so:

Code: Select all
2.3 tons | 2000 lb | 453.59 g |  yd   |      ft     |
---------|-------------------------------------------
  yard   |   ton   |    lb    | 27 ft | 28316.8 cm³ |



There! Now cancel out the units (Tons/tons cancels, ft/ft cancels, etc...)

Code: Select all
2.3 tons | 2000 lb | 453.59 g |  yd   |      ft³    |
---------|-------------------------------------------
  yard   |   ton   |    lb    | 27 ft³ | 28316.8 cm³ |


and we get:

2.3 * 2000 * 453.59 g
--------------------------
27 *28316.8 cm³

This solves to:

2.7 g/cm³

Which is quite different from the 12.3 g/cm³ you stated originally. I'm at a loss for that.
William J. Knight
Health Physicist
Los Alamos National Labs
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