Importance of Unit System and Unit Conversion Sept 24, 1999 Mars Orbiting Craft Presumed Destroyed By Navigation Error Unit Systems and Conversions October 1, 1999 Two Teams, Two Measures Equaled One Lost Spacecraft http://www.mactonnies.com/spiritmer.jpg By Andrew Pollack, New York Times. Lecture 2 Fall Semester 2011 SOCR 377 / 577 LOS ANGELES -- Simple confusion over whether measurements were metric or not led to the loss of a $125 million spacecraft last week as it approached Mars, the National Aeronautics and Space Administration said on Thursday. Lockheed Martin Corporation which had built the spacecraft, specified certain measurements about the spacecraft's thrust in pounds, an English unit, but that NASA scientists thought the information was in the metric measurement of Newton. Important units… Important units Length Mass 103 1 in = 2.54 cm 1 kg = 1 ft = 12 in = 30. 48 cm 1 gm = 10-3 kg gm 1 yd = 3 ft = 91.44 cm 1 kg = 2.205 lbs 1 m = 1.0936 yd = 3.281 ft = 39.37 in 1 lbs = 454 gm 1 mi = 5280 ft = 1760 yd 1 oz = 28.4 gm 1 mi = 1.609 km 1 ton = 2000 lbs 1 light year = 9.461 x 1015 m Area Volume 1 in2 = 6.4516 cm2 1 in3 = 16.39 cm3 1 ft2 = 9.29 x 10-2 m2 1 ft3 = 1728 in3 1 cm2 = 10-4 m2 1 gal = 4 qt = 8 pt = 128 oz = 231 in3 1 acre = 43, 560 ft2 1 gal = 3.786 lit 1 mi2 = 6430 acres = 2.59 km2 1 lit = 1000 cm3 = 10-3 m3 Time 1 mt = 2205 lbs Speed 1 h = 60 min = 3600 sec 1 ft/sec = 0.3048 m/sec 1 d = 24 h = 1440 min = 8.64 x 104 sec 1 mi/h = 0.4470 m/sec 1 y = 365.24 d = 3.156 x 107 sec 1 mi/h = 1.467 ft/sec Speed of light = 186,300 mi/sec (in vacuum) Speed of light = 300,000,000 m/sec Important units… Important units… Conversion Factors for SI and non-SI Units To convert Column 1 into Column 2, multiply by Column 1 SI Unit Conversion Factors for SI and non-SI Units Column 2 non-SI Unit To convert Column 2 into Column 1, multiply by Length To convert Column 1 into Column 2, multiply by Column 1 SI Unit Column 2 non-SI Unit To convert Column 2 into Column 1, multiply by 1.609 Length 0.621 kilometer, km (103 m) mile, mi 1.609 0.621 kilometer, km (103 m) mile, mi 1.094 meter, m yard, yd 0.914 1.094 meter, m yard, yd 0.914 3.28 meter, m foot, ft 0.304 3.28 meter, m foot, ft 0.304 (10-6m) 1.0 micrometer, μm 3.94 x 10-2 millimeter, mm (10-3m) 10 nanometer, nm (10-9m) (10-6m) micron, μ 1.0 1.0 micrometer, μm inch, in 25.4 3.94 x 10-2 millimeter, mm (10-3m) Angstrom, Å 0.1 10 nanometer, nm (10-9m) micron, μ 1.0 inch, in 25.4 Angstrom, Å 0.1 Important units… Important units… Conversion Factors for SI and non-SI Units Prefixes for decimal fractions and multiples Yield and Rate Decimal fraction Prefix Abbreviation 10-18 Atto a Example atto-meter 10-15 Femto f femto-meter 10-12 Pico p pico-gram 9pg) 10-09 Nano n nano-meter (nm) micro-gram (g) 0.893 kilogram per hectare, kg ha-1 pound per acre, lb acre-1 7.77 x 10-2 kilogram per cubic meter, kg m-3 pound per bushel, bu-1 12.87 1.49 x 10-2 kilogram per hectare, kg ha-1 bushel per acre, 60 lb wheat 67.19 10-06 1.59 x 10-2 kilogram per hectare, kg ha-1 bushel per acre, 56 lb corn 62.71 10-03 1.86 x 10-2 kilogram per hectare, kg ha-1 bushel per acre, 48 lb barley 53.75 10-02 Billionth part Micro Millionth part Milli Thousandth Centi Hundreth 0.107 liter per hectare, L ha-1 gallon per acre 9.35 10-01 893 tonnes per hectare, t ha-1 pound per acre, lb acre-1 1.12 x 10-3 101 1.12 x 10-3 102 103 106 Mega 109 Giga G giga-hertz (Ghz) 1012 Tera T tera-grams (Tg) 893 megagram per hectare, Mg ha-1 pound per acre, lb acre-1 1.12 0.446 megagram per hectare, Mg ha-1 ton (2000 lb) per acre, ton acre-1 2.24 2.24 meter per second, m s-1 mile per hour 0.447 Problem Questions In Handout Longitude m milli-meter (mm) c centi-meter (cm) Deci d deci-liter (dl) Deka da deca-gram (dag) Hecto h hecto-liter (hl) Kilo k Kilo bytes, 1000bytes kilo-grams (kg) M1000,000 bytes mega-byte (Mb) Latitude Grid System Problem Questions In Handout In 2006, daylight time begins on April 2 and ends on October 29. In 2007, daylight savings time begins on March 11 and ends on November 4. [New law went into effect.] In 2008, daylight savings time begins on March 9 and ends on November 2. In 2009, daylight savings time begins on March 8 and ends on November 1. In 2010, daylight savings time begins on March 14 and ends on November 7.
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