141 Metric System Conversion Factors Bert McCarty Metric Prefix Definitions (basic metric unit = 1) tera = 1012 deci = 10-1 giga = 109 centi = 10-2 mega = 106 milli = 10-3 kilo = 103 micro = 10-6 hecto = 102 nano = 10-9 deca = 101 pico = 10-12 Metric Prefix Example (weight) Metric Prefix Example (volume) 1 kg = 103 g = 106 mg = 109 μg = 1012 ng 1L = 103 mL = 106 μL 1g = 10-3 kg = 103 mg = 106 μg = 109 ng 1 mL = 10-3 L = 10-6 μL 1 mg = 10-6 kg = 10-3 g = 103 μg = 106 ng 1 μL = 10-6 L = 10-3 mL 1 μg = 10-9 kg = 10-6 g = 10-3 mg = 103 ng 1 ng = 1012 kg = 10-9 g = 10-6 mg = 10-3 μg Area Equivalents 2 = 4840 yd = 0.4047 hectares (ha) = 160 rods 2 = 100 are = 2.471 acres = 107,639 ft 1 acre = 43,560 ft 1 ha = 10,000 m 2 = 9 ft 1 ft 2 = 144 in 1 ft 3 = 1728 in = 102.8 m 1 yd 1 acre-inch 2 2 2 = 0.836 m = 929.03 cm = 0.09290 m 3 = 0.037 yd 3 = 0.02832 m 3 = 27,154 gal = 3630 ft 2 2 4047 m 3 = 27 ft 2 = 10,000 cm 1 yd 2 2 = 0.0016 mi = 0.765 m 2 2 1m 3 2 = 3 3 2 3 = 28,320 cm 3 Liquid Equivalents 1 gal = 1 qt 4 qt = 3 8 pt = 16 cups = 231 in = 256 tbsp = 0.134 ft = 0.9463 L = 2 pt = 4 cups 3 = 128 fl oz = 8.337 lb = 3.785 L = 3785 ml = 32 fl oz = 64 tbsp 1 barrel = 3 57.75 in 2 = 946.4 ml = 1,000 cm = 42 gal 3 1L = 2.113 pt = 1000 ml = 1.057 qt = 33.8 fl oz = 0.26 gal = 0.0001m 1 pt = 16 fl oz = 2 cups = 473.2 ml = 32 tbsp = 0.125 gal = 0.5 qt 1 cup = 8 fl oz = 0.5 pt = 16 tbsp = 236.6 ml 1 tbsp = 14.8 ml = 3 tsp = 0.5 fl oz 1 floz = 29.57 ml = 2 tbsp = 6 tsp = 0.0313 qt 1 tsp = 4.93 ml = 0.1667 floz = 80 drops = 0.034 floz = 0.002 pts 3 = 1 ft of water 7.5 gal = 62.4 lb = 28.3 L 1 ml = 3 1 cm Pressure Equivalents 1 mmHg = 1Pa = 133.32 Pa -3 10 kPa = 10 mPa 1 PSI = 6.9 kPa = 2.31 ft head 3 = 0.133 kPa Temperature Equivalents = 133,333 mPa -6 6 1mPa = 10 kPa = 10 Pa = 10 bar 1 atm = 760 mmHg = 29.92 in Hg = 1.013 x 10 Pa 1kPa = 0.001mPa = 10 cm H2O = 10 mbar = 5 0.01 bar ºC = (°F-32) x 5/9 ºF = (°Cx9/5) + 32 = 100 N cm = 14.69 psi = 33.89 ft water = 0.0099 atm = 0.145 psi = 10.2 kg cm- = 1.013 bar = -1 1J kg 2 -2 142 Length Equivalents km = 0.621 statute mile = 1,000 m = 100,000 cm = 3,281 ft = 39,370 in m = 3.28 ft = 39.4 in = 100 cm = 1.094 yd = 1,000 mm cm = 0.3937 in = 0.01 m = 0.03281 ft in = 2.54 cm = 25.4 mm = 0.0254 m = 0.08333 ft ft = 0.3048 m = 30.48 cm = 12 in yd = 0.9144 m = 3 ft = 91.44 cm statute mile = 1,760 yd = 5,280 ft = 1.61 km = 1609 m Mixture Ratios -1 1 mg g 1 floz 100 gal 1 pt 100 gal -1 -1 Flow -1 = 1000 ppm = 1 fl oz gal = 75 ppm = 1 qt 100 gal = 1 tsp gal 7490 ppm -1 2 tbsp gal -1 3 1 ft sec -1 -1 = 1 gpm = 1 ft min 3 -1 3 -1 = 0.06308 L sec -1 = 7.481 gal min = 0.134 ft min = 448.83 gal hr -1 -1 -1 = 448.83 gal min Weight Equivalents 1 ton (US) = 2,000 lb = 0.907 metric tons = 907.2 kg 1 lb = 16 oz = 453.6 g = 0.4536 kg 1g = 1,000 mg = 0.0353 oz = 0.001 kg 1 kg = 1,000 g = 35.3 oz = 2.205 lbs ng = -9 10 g = 1% (v/v) = 1.28 fl oz -1 gal = 1 gal 100 gal 1 ppm = 0.0001% = 1 mg kg = 0.379 g -1 100 gal = 8.34 x 10 lb -1 gal 100 ppm = 0.01% = 100 mg L 1 ppb = 1 µg kg = 1 µg L -1 1 metric ton = 6 = 0.002205 lb 0.001 micrograms (µg) - 1 -1 -6 10,000 ppm = 1 mg L = 0.013 fl oz 100 gal -1 -1 = 10g L = 1 µg g -1 1,000 kg = 2,205 lb 1 oz (wt) = 28.35 g = 0.0625 lb 1 mg = 0.001 g 1 µg = 10 g = 0.001 mg = 8.34 lb 100 gal 1 ng ml -1 = 10 1.33 oz -1 (wt) gal -1 = 1μg ml 10 ppm = 0.001% = 10 mg L = 0.1% = 1,000 mg L 1 ppt = 1 picogram g = 1µl L 1 ng 1,000,000,000 -12 = 1g 100ml 1 -1 = -6 = = -1 1,000 ppm = = picogram = -1 -1 10 g 1 mg g -1 - g -1 Water and Soil Calculations 1 mmhos cm -1 = 1 dS m-1 1 mmol L-1 = 1mol m-3 1mmol 100g-1 = cmol kg-1 = 1,000 μmhos cm 1 meq L-1 = 1 meq 100g-1 = -1 = 0.1 S m-1 = 1mS cm-1 = 10 meq L-1 Electrical conductivity (mmhos cm-1 or dS m-1) x 640 = Total dissolved salts (mg L-1 or ppm) Total dissolved salts (mg L-1 or ppm) x 0.0016 = Electrical conductivity (mmhos cm-1 or ds m-1) 1 calorie (cal) Joule (J) 1 kcal Energy = 4.184 Joule (J) = 1 kg m2 s-2 = 4.184 kJ -1 -1 -1 -1 143 Decimal and Millimeter Length Equivalents Fraction (inch) 1 15/16 7/8 13/16 ¾ 11/16 5/8 9/16 ½ 7/16 3/8 11/32 5/16 9/32 ¼ 15/64 7/32 13/64 1/5 3/16 23/128 11/64 1/6 21/128 5/32 1/7 19/128 9/64 ⅛ 7/64 1/10 3/32 5/64 1/16 3/64 1/32 1/64 Decimals (inch) 1.00 0.9375 0.875 0.8125 0.75 0.6875 0.625 0.5625 0.5 0.4375 0.3750 0.34375 0.3125 0.28125 0.25 0.234375 0.21875 0.203125 0.200 0.1875 0.1797 0.171875 0.167 0.1641 0.15625 0.143 0.1484 0.140625 0.1250 0.109375 0.100 0.09375 0.078125 0.0625 0.046875 0.03125 0.015625 Millimeters 25.4 23.812 22.225 20.638 19.05 17.462 15.875 14.288 12.70 11.112 9.525 8.731 7.938 7.144 6.350 5.953 5.556 5.159 5.08 4.762 4.564 4.366 4.242 4.168 3.969 3.633 3.769 3.572 3.175 2.778 2.540 2.381 1.984 1.588 1.191 0.794 0.397 144 Metric Conversion To Convert Multiply by To Obtain Acres (a) 0.4047 hectare (ha) Acres Acres Acres 43,560 0.00405 4047 sq. feet (ft2) sq. kilometer (km2) sq. meter (m2) Acres Acre-feet 4840 325,851 sq. yards (yd2) sq. feet (ft2) Acre-feet Acre-feet 43560 1233.5 cu. feet (ft3) cu. meter (m3) Acre-inch Bar 102.8 14.5 m3 lb/in2 Bar 1019.7 g/cm3 Bar Bar Bar Bar 29.53 75 0.001 100 inches Hg @ 0oC cm Hg @ 0oC J/kg kPa Bushels - dry 0.03524 m2 Bushels Calorie (cal) Centimeters (cm) 1.245 4.184 0.03281 ft3 Joules (J) feet (ft) cm cm 0.3937 0.1094 inches (in) yards (yd) cm cm cm/sec = cm sec-1 = cm per sec cm/sec 0.01 10 1.9685 0.0223694 meters (m) millimeters (mm) ft/min miles per hour (MPH) cm2 (square centimeters) 0.001076 ft2 0.1550 0.01 in2 sq. decimeter 0.0610237 0.0338 0.001057 in3 fl oz qt3 cm3 cm3 Cup Cup Feet (ft) ft 0.000264172 0.001 8 236.6 30.48 0.3048 gal cu. decimeter fl oz cm3 cm m ft ft2 (square feet) ft2 ft2 ft2 305 929 0.0929 9.294 x 10-6 144 mm cm2 m2 hectares (ha) in2 cm2 cm2 cm3 (cubic centimeters) cm3 cm3 145 Metric Conversion To Convert ft3 (cubic feet) Multiply by 0.0283 To Obtain m3 ft3 ft3 ft3 ft3 ft3/1,000 ft2 7.4805 1728 0.037 28.32 0.030463 gallons cubic inches (in3) cubic yards (yd3) liters (L) m3/100 m2 Feet per minute Feet head of water Foot candle Gallons (gal) Gal 0.01136 0.433 10.764 3.785 3785 mph psi lux liters ml Gal Gal Gal Gal Gal per acre (gpa) 128 0.13368 231 3,785 9.354 ounces (liquid) ft3 in3 cm3 L/ha 0.09354 2.938 4.0746 2.228 x 10-3 0.06309 L/100 m2 oz/1,000 ft2 (liquid) L/100 m2 ft3/second L/sec Gal/min Grams (g) Gram g/cm3 g/cm3 0.227125 0.002205 0.035274 0.036127 62.428 m3/hr lb oz lb/in3 lb/ft3 g/ft2 g/ha g/ha g/kg g/liter g/liter 96 0.000893 0.014275 0.10 1000 10 lb/acre lbs/acre oz/acre percent (%) PPM % 0.00834595 0.13351 0.00020481 0.20481 2.471 lb/gal oz/gal lb/ft2 lb/1,000 ft2 Acres 107,639 107.64 746 550 33,000 ft2 1,000 ft2 watts ft-lbs/sec ft-lbs/min gpa gpa Gal/1,000 ft2 Gal/minute Gal/min g/liter g/liter g/m2 g/m2 Hectares (ha) Ha Ha horsepower (electrical or mechanical) hp hp 146 Metric Conversion To Convert hp Multiply by 1.014 To Obtain metric horsepower hp Inches (in) Inches Inches Inches of mercury 33,000 2.540 0.0254 25.40 3.4 ft lbs/min cm m ml kilopascals (kPa) in/acre in/ft in2 in3 in3 6.28 0.083 6.4516 16.3871 0.55411 cm/ha mm/mm cm2 cm3 fl oz in3 in3/hr Joules per kilograms (J/kg) kilo Pascal (kPa) kPa 0.01732 0.00434 1 1 1 qt gal/hr kPa J/kg 0.01 bar kPa Kilograms (kg) kg/hectare kg/ha kg/100 m2 0.01 2.2046 0.892 0.02048 2.048 bar lb lb/acre lb/1,000 ft2 lbs/1,000 ft2 kg/L Kilometers (Km) Kilometers Kilometers Kilometers 8.3454 100,000 3281 1000 0.6214 lb/gal cm ft m miles Kilometers Km/h Km/h Kilopascals (kPa) kPa kPa 1094 0.62137 54.6807 0.145 1 1 yd mph ft/min lbs/in2 (psi) 0.01 bar J/kg Liters (L) L L L L 0.2642 33.814 2.113 1.057 0.035315 gallons fl.oz. pt qt ft3 3.2808 0.2454 1.9634 0.107 0.0025 ft3/1,000 ft2 gal/1,000 ft2 pt/1,000 ft2 gal/A gal/1,000 ft2 L/m2 L/100 m2 L/100 m2 Liters/hectare L/ha 147 Metric Conversion To Convert L/ha Multiply by 0.314 To Obtain oz/1,000 ft2 L/ha L/min Meters (m) Meters Meters 0.855 15.85 3.281 39.37 1.094 pt/A gal/hr ft in yd Meters Meters Meters Meters/sec M2 (square meters) 100 0.001 1000 2.2369 10.764 cm km mm mph ft2 M2 M2 M3 (cubic meters) M3 M3 1,550 1.196 35.3147 1.30795 1,000 in2 yd2 ft3 yd3 L M3/ha M3/ha M3/ha mil mil 14.29 0.0122 0.328 0.001 0.0254 ft3/acre yd /1,000 ft2 ft3/1,000 ft2 in mm Miles (nautical) Miles (nautical) Miles (statute) Miles Miles 1.1508 6,076 160,900 5280 1.609 miles (statute) ft cm ft km 1760 1.467 88 1.61 0.447 1 yards ft/sec ft/mine km/hr m/sec parts per million (ppm) 1 Eq. wt. x 10 1 1,000 0.0338 millimoles per liter (mmol/L) parts per million (ppm) decisiemens per meter (dS/m) micromhos per centimeter (μmhos/cm) oz (fluid) 0.0002642 3.14 0.12793 0.0128 0.03937 gal oz/1,000 ft2 oz/gal fl oz/1,000 gal in Miles Miles per hour (mph) mph mph mph mg/kg Milliequivalents per liter (meq/L) Milliequivalents per 100 g (meq/100g) Millimhos per centimeter (mmhos/cm) mmhos/cm Milliliters (ml) ml ml/m2 ml/l ml/10,000 L Millimeters (mm) 3 148 Metric Conversion To Convert 1 mm Hg @ 0 C Multiply by 0.13332 To Obtain kPa 133333.3 0.02957 29.573 0.03125 7.81 mPa L ml qt. ml/L Ounces (fluid)/acre Ounces (fluid)/acre Ounces (fluid)/1,000 ft2 oz (weight) oz (weight) 0.0731 73.1 3.18 28.35 0.0625 L/ha ml/ha L/ha g lb oz (weight)/acre oz (weight)/acre oz (weight)/1,000 ft2 oz (weight)/ft2 oz (weight)/gal 0.07 70 3.05 305.15 7.5 kg/ha g/ha kg/ha g/m2 g/L oz (weight)/1,000 ft2 Percent (%) Pint (liquid) (pt) pt/A pt/A 0.305 10 0.473 1.1692 0.3673 g/m2 g/kg liter L/ha oz/1,000 ft2 pt/1,000 ft2 Parts per million (ppm) PPM PPM PPM 0.50932 2.719 2.0 2.25 0.001 L/100 m2 lb ai/acre foot of water lbs/acre slice 7-in. deep kg/ha slice 7-in. deep g/L PPM PPM PPM PPM PPM Pounds (lb) 8.34 1 0.013 0.3295 8.2897 0.4536 lb/million gal mg/kg oz/100 gal of water gal/acre-foot of water lbs/million gal of water kilograms (kg) lb lb/acre lb /acre lb /acre lb / acre 453.6 1,120 1.12 1.0413 0.02296 g g/ha kg/ha g/100 ft2 lb/1,000 ft2 0.112 0.3682 0.0003682 4883 16.23 g/m2 g/m3 kg/m3 g/m2 kg/m3 1 mm Hg Ounces (fluid) (oz) Ounces (fluid) Ounces (fluid) Oz (fluid)/gal lb /acre lb /acre-foot lb /acre-foot lb / ft2 lb /ft3 149 Metric Conversion To Convert lb /1,000 ft2 Multiply by 4.88 To Obtain g/m2 lb /1,000 ft2 lb /1,000 ft2 lb /1,000 ft2 lb /1,000 ft2 lb /1,000 ft2 48.83 43.5597 488 0.4883 0.91 kg/ha lb/A g/100 m2 kg/100 m2 lbs/100 yd2 lb /1,000 ft2 lb /yd3 lb /yd3 lb /yd3 lb /gallon 1.1 0.0005937 594 0.5932 0.12 lbs/1,000 ft2 g/cm3 g/m3 kg/m3 kg/liter lb /1,000 gal pounds per square inch (PSI) PSI PSI PSI 0.12 6.89 0.06895 0.068046 2.31 g/1,000 L kilopascals (kPa) bar atmosphere (atm) feet head of water Quarts (qt) Quarts Qt/A Qt/A Qt/100 gal 0.9463 946 2.3385 0.7346 2.5 L ml L/ha oz/1,000 ft2 ml/L Temperature, C 1 . 8 Temperature, F- 32 Ton (2,000 lbs) Ton (2,000 lbs)/acre Ton (2,000 lbs) 1.8 0.5555 907 2240 0.907 temperature, F temperature, C kg kg/ha ton (metric) Ton (2,000 lbs)/acre Ton (metric) Ton (metric) Ton (metric) Yards (yd) Yards 2.241 2,205 1,000 1.102 91.44 0.9144 ton (metric)/ha lb kg ton (2,000 lb) cm m Yards square yards (yd2) yd2 yd2 cubic yards (yd3) 914.4 0.836 9 1,296 27 mm m2 ft2 in2 ft3 yd3 yd3 yd3 yd3/1,000 ft2 P2O5 46,656 0.7645 765 0.825 0.437 in3 m3 L m3/100 m2 P 150 Metric Conversion To Convert K2O Multiply by 0.830 To Obtain K 0.715 0.602 400 Ca Mg +2 lb Ca per acre furrow slice meq K+/100 g soil 780 lb K+ per acre furrow slice meq Na+/100 g soil 460 lb Na+ per acre furrow slice meq Mg+2/100 g soil 109 lb Mg+2 per acre furrow slice meq Fe+3/100 g soil 372 lb Fe+3 per acre furrow slice meq Zn+2/100 g soil 654 lb Zn+2 per acre furrow slice meq H+/100 g soil 20 lb H+ per acre furrow slice meq Al+3/100 g soil 180 lb Al+3 per acre furrow slice meq Ca+2/100 g soil 9.2 lb Ca+2 per 1,000 ft2 furrow slice meq K+/100 g soil 18 lb K+ per 1,000 ft2 furrow slice meq Na+/100 g soil 10.6 lb Na+ per 1,000 ft2 furrow slice meq Mg+2/100 g soil 2.5 lb Mg+2 per 1,000 ft2 furrow slice meq Fe+3/100 g soil 8.5 lb Fe+3 per 1,000 ft2 furrow slice meq Zn+2/100 g soil 15 lb Zn+2 per 1,000 ft2 furrow slice meq H+/100 g soil 0.46 lb H+ per 1,000 ft2 furrow slice meq Al+3/100 g soil 4.1 lbs Al+3 per 1,000 ft2 furrow slice CaO MgO meq Ca+2/100 g soil
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