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FACTOR-LABEL METHOD

Updated 6/28/03
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       | DIST. | SPEED | ACCEL |    g   _ | MASS | FORCE | WORK | POWER | ENERGY   .
METRIC | meter | m/s   |  m/s2 | 9.8 m/s2 |  kg  | Newton| Joule| Watt  | Joule or Cal
ENGLISH| foot  | ft/s  | ft/s
2 | 32 ft/s2 | slug | Pound | ft lb|  hp   | Btu

+------------------------------------------------------------------------+
| ENGLISH-METRIC              ENGLISH-METRIC          ENGLISH-ENGLISH    |
| 1 mi    = 1.61 km           1 lb = 453.6   g        5280 ft  =  1 mile |
| 1 kg    = 2.2046 lbs        1 oz =  28.35  g          36 in  =  1 yrd  |
| 1 mi/hr = 1.467 ft/s        1 in =   2.54  cm          1 qt  = 32 oz   |
| 1 ft/s  = 0.305 m/s         1 qt =   0.946 L           1 gal =  4 qt   |
| 1 kg/L  = 62.43 lb/ft3      1 cal =  4.18 J         3600 s   =  1 hr   |
| 1 L     = 1,000 cm3         1 hp  = 746 w            365 day =  1 yr   |
+------------------------------------------------------------------------+

SINGLE STEP CONVERSIONS
USE LOOSE LEAF & SHOW CANCELATION OF UNITS

1]   5 hr = _?_ min            2] 1800 min = _?_ hr            3] 6.31 in = _?_ cm     

4] 7520 ft = _?_ mi            5] 64125 g = _?_  oz            6] 56 oz = _?_ g

7] 4.5 qt = _?_ L              8] 1000 watt = _?_ hp           9] 3 hp = _?_ watts

10] 234 m/min = _?_ m/s        11] 352 m/s = _?_ m/min        12] 540 g/L = _?_  g/mL

13] 45,600 m = _?_ Mm          14] 234 mw = _?_ w      

DOUBLE STEP CONVERSIONS

15] 47.3 km = _?_ mm             16] 753 uV  = _?_ mV            17] 347  mg  = _?_ ug

18]  426 kw = _?_ Mw             19] 357 m/s = _?_ m/hr          20] 55 km/h = _?_ m/s

21] 1000 cm2 = _?_ m2            22]  12 m3 = _?_ cm3            23] 1 qt = _?_ g

24] 1500 g H2O = _?_ L H2O       25] 846 L  = _?_ gal            26] 753 m     = _?_ ft

27] 3 yd = _?_ cm                28]  2 m   = _?_ ft             29] 30 m2 = _?_ ft2

30] 25 gal   = _?_ L    

ANS:  1] 300 min   [2] 30 hr     [3] 16.0 cm      [4] 1.42 mi       [5] 2262 oz
6] 1588 g    [7] 4.257 L   [8] 1.34 hp            [9] 2238 watts    [10] 3.9 m/s
11] 21,120 m/min          [12] 0.540 g/mL        [13] 0.045 Mm      [14] 0.234 w
15] 47,300,000 mm         [16] 0.753 Mv          [17] 347,000 ug    [18] 0.426 Mw
19] 1,285,200 m/hr        [20] 15.3 m/s          [21] 0.10 m2       [22] 12,000,000cm
3
23] 946 g                 [24]  1.5 L            [25]  224 gal      [26]  2470 ft;
27] 274 cm                [28]  6.56 ft          [29]  323 ft2      [30]  90.7 L

MULTI-STEP CONVERSIONS

1     1 mi = ? yd       6      347 mg = ? ug

2     5 gal = ? L             7      426 kw = ? Mw

3     2000 oz = ? kg          8      1000 cm2 = ? m2

4     47.3 km = ? mm          9      12 m3 = ? cm3

5     753 uV  = ? mV            10      3 x 106 m/s = ? mi/hr

11    50 mi    10 hr   5 day   4 weeks
------ x ----- x ----- x ------- =
  hr      day    week     month

12      5 hr     5 day   48 weeks
-------- x ----- x -------- =
  day       week    year

13    The toxicity of NaCl is 200 mg per kg.  You weigh 130 lb.
How much NaCl can you eat before it kills you?

14    a] YOU THINK YOUR CHILD MAY HAVE OVERDOSED ON TYLENOL.  HE TOOK 10 TABLETS OF 500 mg EACH.  AN OVERDOSE IS 150 mg PER kg OF BODY WEIGHT.  YOUR CHILD WEIGHS 55 lbs.  DID HE DAMAGE HIS/HER LIVER?
b] HOW MANY TABLETS CONSTITUTE AN OVERDOSE FOR YOUR CHILD. 

15    ON A MAP THE DISTANCE TO PEORIA ILLINOIS IS 24.5 in.  THE SCALE IS
30 mi TO THE INCH.  YOUR CAR GETS 32 mi TO THE GALLON.  A GALLON OF GAS COSTS $1.31.  a] HOW MUCH GAS MONEY DO YOU NEED FOR A ROUND TRIP?
b] IF YOU TRAVEL AT 60 mph, HOW LONG WILL IT TAKE YOU TO GET THERE?

16      ABBOKINASE [A DRUG FOR PULMONARY EMBOLISM] IS GIVEN IN 2,000 UNITS/lb. 
IT IS FED INTRAVENOUSLY IN A CONCENTRATION OF 11,538 UNITS/mL AT
15 mL/hr.  HOW LONG WILL IT TAKE TO MEDICATE A 200 lb MAN?

17    THE AMAZON RAIN FOREST IS 6 MILLION SQUARE KILOMETERS.  BETWEEN 1995 AND 2000, 21,000 km2 WERE BURNED PER YEAR.  AT THIS RATE IT WILL ALL GONE IN WHAT YEAR?

18    ASSUME A $14,000 CAR WILL LAST 10 yr.  WHEN THE REPAIRS REACH WHAT AMOUNT SHOULD YOU GET ANOTHER CAR?

ANS: 1] 1760 yd             [2] 18.86 L               [7] 56.7 kg
     4] 47,300,000 mm       [5] 0.753 mV;             [6] 347,000 ug;
     7] 0.426 Mw;           [8] 0.10 m2;              [9] 12,000,000 cm3
    10]                    [11]                      [12]
    13]                    [14] YES, 7.5 TABLETS     [15] $60.18 round trip
    16] 2.31 hr            [17] 2286                 [18] $1,400/yr

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