Wednesday, September 12, 2012

Issue 23:Unit Conversion

The first one I'm doing this school year ^.^
This one is a simple one, it's easy to understand but also easy to make mistakes.
Okay....

Convert: 1000ft-->meters
Note: 12in=1 ft, 1in=2.54cm and 100cm=1 meters
We are going to use unit multipliers, since it's the easiest way to solve this unit conversion problems.

1000ft  x   12 in  2.54cm  x    1m      = You calculate the answer
    1            1ft           1in        100cm
     ^            ^                                ^
Why 1?,      We put what we         Never change the meaning of the question
It's because     try to cancel out      1m is 100 cm, it can never be 1cm = 100m
We don't want  the units.                 That would be incorrect! But do try to cancel out the equation
to change          In this case, it's
the meaning        feet
of the numerator

The correct answer is 304.8 meters


Cubic and Squaring >>> This is more complicated to remember. Well it's okay....

Convert 10m^3 to yd^3
Note that 1m=100cm, 2.54cm=1 in, 36 in= 1 yd. And that ^3 is the exponent (to the power of three)

  10m^3    (100^3)cm^3   x         1in^3        x        1yd^3     = Calculate the answer
       1                  1m^3             (2.54)^3cm^3      (36)^3 in^3

Since we are doing cubics, you have to cube the multiplier numbers.( For all the multipliers!! The original should be cubed already, we do not need to do that again, otherwise it's incorrect!!!)

The answer should be around 13.08yd^3

Okay, this last question is a little difficult since it needs to convert the time and distance
(I took this question from somewhere and reword it)

A man ran 100 yards in 9 seconds. Would he be speeding if he was running in the neighborhood with a speed limit of 35 mi/hour??
100yds =around 11.11 yd/s
    9s     

35 mi     1hr   x   1min 1760yd  154 yd  = around 17.11 yd/s
 1 hr       60min       60s         1mi            9s

I did the time first here            then distance here
The answer was to match the yd/s
Therefore he wouldn't be speeding

5 comments:

  1. dimesional analysis........ randolph

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  2. Ya. I found this easy. ^.^ but I had a chemistry test on it. so why not write it. :P

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  3. WTF. You put this in the yearbook, gal.

    I was expecting 10,000 views by now.

    Guess who I am. You'd never believe it.

    And oh yeah @name DIMENSIONAL ANALYSIS. xD

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  4. I think I know. Super cat? LOL.
    And I wish except this site got dissed badly with 2 words and stuff....
    Well I don't promote very often either anymore...
    That's because I haven't updated this very much.
    I guess I should start but I take different courses than many people too so IDK if it would be much help.

    XD -A happy cat

    ^ ^
    (>.<)
    o o

    ReplyDelete