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Topic: conversions  (Read 2341 times)

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Offline ryneclipses

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conversions
« on: August 23, 2013, 11:51:26 AM »
Ok so i have this homework problem that I have been trying to dissect but I just cant seem to get the correct answer.  Its not graded so I'm not trying to just hassle you guys for free answers, I just want to understand this basic problem so I can move on!  Here is the problem:
"a fertilizer suggests an application of 2.06 X 10^-1 kg m^-2     convert to lbs foot^-2
i know that 1 kg = 2.2 lbs
and 1 m = 3.28 feet
how do i setup an equation for this? thanks

Offline ryneclipses

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Re: conversions
« Reply #1 on: August 23, 2013, 12:26:49 PM »
I did attempt to answer this by moving the decimal to .206 to make .206kgm^-2 then multiplying the kg and m conversion .206 (2.2) (3.28) and my answer was 1.47 but this was incorrect

Offline Arkcon

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Re: conversions
« Reply #2 on: August 23, 2013, 12:29:53 PM »
Try to set up a dimensional analysis:  http://www.brightstorm.com/science/chemistry/introduction-to-chemistry/dimensional-analysis/  Express the known value as a fraction, and multiply conversion factors until all the unwanted units cancel, and only the ones you want are left.
Hey, I'm not judging.  I just like to shoot straight.  I'm a man of science.

Offline ryneclipses

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Re: conversions
« Reply #3 on: August 23, 2013, 01:01:52 PM »
I watched the video and read the transcript on dimensional analysis.  I watched a couple more videos on multi-step dimensional analysis.  I set up an equation for my problem as follows:  (2.06 kg X 10^-1 / m^-2) X (2.2 lbs / kg) X (m^-2 / 3.28 ft^-2)  now I am not sure how to multiply these out because of the powers, but I think it should cancel the unwanted units of kg and m^-2.  Any comments on my setup and/or suggestions for completing?

Offline magician4

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Re: conversions
« Reply #4 on: August 23, 2013, 01:06:02 PM »
hint:

if I had to recalculate 1 kg/m2 to lbs/foot2  (with the known values 1 kg = 2.2 lbs and 1 m = 3.28 feet) I'd start like this:

[tex]1 \ \frac {kg}{(m)^2} \ =   1    \frac {2.2 \ lbs }{(3.28 \ foot )^2} \ =   \frac {1 \cdot \ 2.2}{(3.28)^2}  \cdot  \frac {lbs}{foot^2}[/tex]

regards

Ingo


p.s.: sooner or later the ongoing  use of these antique units will kill more than just an expensive Mars mission ...
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