Units Conversion Tables
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Analytic Geometry
Guide Study Georgia End-Of-Course Tests Georgia ANALYTIC GEOMETRY TABLE OF CONTENTS INTRODUCTION ...........................................................................................................5 HOW TO USE THE STUDY GUIDE ................................................................................6 OVERVIEW OF THE EOCT .........................................................................................8 PREPARING FOR THE EOCT ......................................................................................9 Study Skills ........................................................................................................9 Time Management .....................................................................................10 Organization ...............................................................................................10 Active Participation ...................................................................................11 Test-Taking Strategies .....................................................................................11 Suggested Strategies to Prepare for the EOCT ..........................................12 Suggested Strategies the Day before the EOCT ........................................13 Suggested Strategies the Morning of the EOCT ........................................13 Top 10 Suggested Strategies during the EOCT .........................................14 TEST CONTENT ........................................................................................................15 -
Calculating Growing Degree Days by Jim Nugent District Horticulturist Michigan State University
Calculating Growing Degree Days By Jim Nugent District Horticulturist Michigan State University Are you calculating degree day accumulations and finding your values don't match the values being reported by MSU or your neighbor's electronic data collection unit? There is a logical reason! Three different methods are used to calculate degree days; i.e., 1) Averaging Method; 2) Baskerville-Emin (BE) Method; and 3) Electronic Real-time Data Collection. All methods attempt to calculate the heat accumulation above a minimum threshold temperature, often referred to the base temperature. Once both the daily maximum and minimum temperatures get above the minimum threshold temperature, (i.e., base temperature of 42degrees, 50degrees or whatever other base temperature of interest) then all methods are fairly comparable. However, differences do occur and these are accentuated in an exceptionally long period of cool spring temperatures, such as we experienced this year. Let me briefly explain: 1. Averaging Method: Easy to calculate Degree Days(DD) = Average daily temp. - Base Temp. = (max. + min.) / 2 - Base temp. If answer is negative, assume 0. Example: Calculate DD Base 50 given 65 degrees max. and 40 degrees min. Avg. = (65 + 40) / 2 = 52.5 degrees DD base 50 = 52.5 - 50 = 2.5 degrees. But look what happens given a maximum of 60 degrees and a minimum of 35 degrees: Avg. = (60 + 35) / 2 = 47.5 DD base 50 = 47.5 - 50 = -2.5 = 0 degrees. The maximum temperature was higher than the base of 50° , but no degree days were accumulated. A grower called about the first of June reporting only about 40% of the DD50 that we have recorded. -
Geometry C12 Review Find the Volume of the Figures. 1. 2. 3. 4. 5. 6
Geometry C12 Review 6. Find the volume of the figures. 1. PREAP: DO NOT USE 5.2 km as the apothem! 7. 2. 3. 8. 9. 4. 10. 5. 11. 16. 17. 12. 18. 13. 14. 19. 15. 20. 21. A sphere has a volume of 7776π in3. What is the radius 33. Two prisms are similar. The ratio of their volumes is of the sphere? 8:27. The surface area of the smaller prism is 72 in2. Find the surface area of the larger prism. 22a. A sphere has a volume of 36π cm3. What is the radius and diameter of the sphere? 22b. A sphere has a volume of 45 ft3. What is the 34. The prisms are similar. approximate radius of the sphere? a. What is the scale factor? 23. The scale factor (ratio of sides) of two similar solids is b. What is the ratio of surface 3:7. What are the ratios of their surface areas and area? volumes? c. What is the ratio of volume? d. Find the volume of the 24. The scale factor of two similar solids is 12:5. What are smaller prism. the ratios of their surface areas and volumes? 35. The prisms are similar. 25. The scale factor of two similar solids is 6:11. What are a. What is the scale factor? the ratios of their surface areas and volumes? b. What is the ratio of surface area? 26. The ratio of the volumes of two similar solids is c. What is the ratio of 343:2197. What is the scale factor (ratio of sides)? volume? d. -
Metric System Units of Length
Math 0300 METRIC SYSTEM UNITS OF LENGTH Þ To convert units of length in the metric system of measurement The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter. The prefix “centi-“means one hundredth. 1 centimeter=1 one-hundredth of a meter kilo- = 1000 1 kilometer (km) = 1000 meters (m) hecto- = 100 1 hectometer (hm) = 100 m deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m deci- = 0.1 1 decimeter (dm) = 0.1 m centi- = 0.01 1 centimeter (cm) = 0.01 m milli- = 0.001 1 millimeter (mm) = 0.001 m Conversion between units of length in the metric system involves moving the decimal point to the right or to the left. Listing the units in order from largest to smallest will indicate how many places to move the decimal point and in which direction. Example 1: To convert 4200 cm to meters, write the units in order from largest to smallest. km hm dam m dm cm mm Converting cm to m requires moving 4 2 . 0 0 2 positions to the left. Move the decimal point the same number of places and in the same direction (to the left). So 4200 cm = 42.00 m A metric measurement involving two units is customarily written in terms of one unit. Convert the smaller unit to the larger unit and then add. Example 2: To convert 8 km 32 m to kilometers First convert 32 m to kilometers. km hm dam m dm cm mm Converting m to km requires moving 0 . -
Standard Conversion Factors
Standard conversion factors 7 1 tonne of oil equivalent (toe) = 10 kilocalories = 396.83 therms = 41.868 GJ = 11,630 kWh 1 therm = 100,000 British thermal units (Btu) The following prefixes are used for multiples of joules, watts and watt hours: kilo (k) = 1,000 or 103 mega (M) = 1,000,000 or 106 giga (G) = 1,000,000,000 or 109 tera (T) = 1,000,000,000,000 or 1012 peta (P) = 1,000,000,000,000,000 or 1015 WEIGHT 1 kilogramme (kg) = 2.2046 pounds (lb) VOLUME 1 cubic metre (cu m) = 35.31 cu ft 1 pound (lb) = 0.4536 kg 1 cubic foot (cu ft) = 0.02832 cu m 1 tonne (t) = 1,000 kg 1 litre = 0.22 Imperial = 0.9842 long ton gallon (UK gal.) = 1.102 short ton (sh tn) 1 UK gallon = 8 UK pints 1 Statute or long ton = 2,240 lb = 1.201 U.S. gallons (US gal) = 1.016 t = 4.54609 litres = 1.120 sh tn 1 barrel = 159.0 litres = 34.97 UK gal = 42 US gal LENGTH 1 mile = 1.6093 kilometres 1 kilometre (km) = 0.62137 miles TEMPERATURE 1 scale degree Celsius (C) = 1.8 scale degrees Fahrenheit (F) For conversion of temperatures: °C = 5/9 (°F - 32); °F = 9/5 °C + 32 Average conversion factors for petroleum Imperial Litres Imperial Litres gallons per gallons per per tonne tonne per tonne tonne Crude oil: Gas/diesel oil: Indigenous Gas oil 257 1,167 Imported Marine diesel oil 253 1,150 Average of refining throughput Fuel oil: Ethane All grades 222 1,021 Propane Light fuel oil: Butane 1% or less sulphur 1,071 Naphtha (l.d.f.) >1% sulphur 232 1,071 Medium fuel oil: Aviation gasoline 1% or less sulphur 237 1,079 >1% sulphur 1,028 Motor -
American and BRITISH UNITS of Measurement to SI UNITS
AMERICAN AND BRITISH UNITS OF MEASUREMENT TO SI UNITS UNIT & ABBREVIATION SI UNITS CONVERSION* UNIT & ABBREVIATION SI UNITS CONVERSION* UNITS OF LENGTH UNITS OF MASS 1 inch = 40 lines in 2.54 cm 0.393701 1 grain gr 64.7989 mg 0.0154324 1 mil 25.4 µm 0.03937 1 dram dr 1.77185 g 0.564383 1 line 0.635 mm 1.57480 1 ounce = 16 drams oz 28.3495 g 0.0352739 1 foot = 12 in = 3 hands ft 30.48 cm 0.0328084 1 pound = 16 oz lb 0.453592 kg 2.204622 1 yard = 3 feet = 4 spans yd 0.9144 m 1.09361 1 quarter = 28 lb 12.7006 kg 0.078737 1 fathom = 2 yd fath 1.8288 m 0.546807 1 hundredweight = 112 lb cwt 50.8024 kg 0.0196841 1 rod (perch, pole) rd 5.0292 m 0.198839 1 long hundredweight l cwt 50.8024 kg 0.0196841 1 chain = 100 links ch 20.1168 m 0.0497097 1 short hundredweight sh cwt 45.3592 kg 0.0220462 1 furlong = 220 yd fur 0.201168 km 4.97097 1 ton = 1 long ton tn, l tn 1.016047 t 0.984206 1 mile (Land Mile) mi 1.60934 km 0.62137 1 short ton = 2000 lb sh tn 0.907185 t 1.102311 1 nautical mile (intl.) n mi, NM 1.852 km 0.539957 1 knot (Knoten) kn 1.852 km/h 0.539957 UNITS OF FORCE 1 pound-weight lb wt 4.448221 N 0.2248089 UNITS OF AREA 1 pound-force LB, lbf 4.448221 N 0.2248089 1 square inch sq in 6.4516 cm2 0.155000 1 poundal pdl 0.138255 N 7.23301 1 circular inch 5.0671 cm2 0.197352 1 kilogram-force kgf, kgp 9.80665 N 0.1019716 1 square foot = 144 sq in sq ft 929.03 cm2 1.0764 x 10-4 1 short ton-weight sh tn wt 8.896444 kN 0.1124045 1 square yard = 9 sq ft sq yd 0.83613 m2 1.19599 1 long ton-weight l tn wt 9.964015 kN 0.1003611 1 acre = 4 roods 4046.8 -
Units and Conversions
Units and Conversions This unit of the Metrology Fundamentals series was developed by the Mitutoyo Institute of Metrology, the educational department within Mitutoyo America Corporation. The Mitutoyo Institute of Metrology provides educational courses and free on-demand resources across a wide variety of measurement related topics including basic inspection techniques, principles of dimensional metrology, calibration methods, and GD&T. For more information on the educational opportunities available from Mitutoyo America Corporation, visit us at www.mitutoyo.com/education. This technical bulletin addresses an important aspect of the language of measurement – the units used when reporting or discussing measured values. The dimensioning and tolerancing practices used on engineering drawings and related product specifications use either decimal inch (in) or millimeter (mm) units. Dimensional measurements are therefore usually reported in either of these units, but there are a number of variations and conversions that must be understood. Measurement accuracy, equipment specifications, measured deviations, and errors are typically very small numbers, and therefore a more practical spoken language of units has grown out of manufacturing and precision measurement practice. Metric System In the metric system (SI or International System of Units), the fundamental unit of length is the meter (m). Engineering drawings and measurement systems use the millimeter (mm), which is one thousandths of a meter (1 mm = 0.001 m). In general practice, however, the common spoken unit is the “micron”, which is slang for the micrometer (m), one millionth of a meter (1 m = 0.001 mm = 0.000001 m). In more rare cases, the nanometer (nm) is used, which is one billionth of a meter. -
Lesson 1: Length English Vs
Lesson 1: Length English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer B. 1 yard or 1 meter C. 1 inch or 1 centimeter English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 yard = 0.9444 meters English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 inch = 2.54 centimeters 1 yard = 0.9444 meters Metric Units The basic unit of length in the metric system in the meter and is represented by a lowercase m. Standard: The distance traveled by light in absolute vacuum in 1∕299,792,458 of a second. Metric Units 1 Kilometer (km) = 1000 meters 1 Meter = 100 Centimeters (cm) 1 Meter = 1000 Millimeters (mm) Which is larger? A. 1 meter or 105 centimeters C. 12 centimeters or 102 millimeters B. 4 kilometers or 4400 meters D. 1200 millimeters or 1 meter Measuring Length How many millimeters are in 1 centimeter? 1 centimeter = 10 millimeters What is the length of the line in centimeters? _______cm What is the length of the line in millimeters? _______mm What is the length of the line to the nearest centimeter? ________cm HINT: Round to the nearest centimeter – no decimals. -
Conversion Factors for SI and Non-SI Units
Conversion Factors for SI and non-SI Units To convert Column 1 To convert Column 2 into Column 2, into Column 1, multiply by Column 1 SI Unit Column 2 non-SI Units multiply by Length 0.621 kilometer, km (103 m) mile, mi 1.609 1.094 meter, m yard, yd 0.914 3.28 meter, m foot, ft 0.304 6 1.0 micrometer, mm (10- m) micron, m 1.0 3.94 × 10-2 millimeter, mm (10-3 m) inch, in 25.4 10 nanometer, nm (10-9 m) Angstrom, Å 0.1 Area 2.47 hectare, ha acre 0.405 247 square kilometer, km2 (103 m)2 acre 4.05 × 10-3 0.386 square kilometer, km2 (103 m)2 square mile, mi2 2.590 2.47 × 10-4 square meter, m2 acre 4.05 × 103 10.76 square meter, m2 square foot, ft2 9.29 × 10-2 1.55 × 10-3 square millimeter, mm2 (10-3 m)2 square inch, in2 645 Volume 9.73 × 10-3 cubic meter, m3 acre-inch 102.8 35.3 cubic meter, m3 cubic foot, ft3 2.83 × 10-2 6.10 × 104 cubic meter, m3 cubic inch, in3 1.64 × 10-5 2.84 × 10-2 liter, L (10-3 m3) bushel, bu 35.24 1.057 liter, L (10-3 m3) quart (liquid), qt 0.946 3.53 × 10-2 liter, L (10-3 m3) cubic foot, ft3 28.3 0.265 liter, L (10-3 m3) gallon 3.78 33.78 liter, L (10-3 m3) ounce (fluid), oz 2.96 × 10-2 2.11 liter, L (10-3 m3) pint (fluid), pt 0.473 Mass 2.20 × 10-3 gram, g (10-3 kg) pound, lb 454 3.52 × 10-2 gram, g (10-3 kg) ounce (avdp), oz 28.4 2.205 kilogram, kg pound, lb 0.454 0.01 kilogram, kg quintal (metric), q 100 1.10 × 10-3 kilogram, kg ton (2000 lb), ton 907 1.102 megagram, Mg (tonne) ton (U.S.), ton 0.907 1.102 tonne, t ton (U.S.), ton 0.907 Yield and Rate 0.893 kilogram per hectare, kg ha-1 pound per acre, lb acre-1 -
Distances in the Solar System Are Often Measured in Astronomical Units (AU). One Astronomical Unit Is Defined As the Distance from Earth to the Sun
Distances in the solar system are often measured in astronomical units (AU). One astronomical unit is defined as the distance from Earth to the Sun. 1 AU equals about 150 million km (93 million miles). Table below shows the distance from the Sun to each planet in AU. The table shows how long it takes each planet to spin on its axis. It also shows how long it takes each planet to complete an orbit. Notice how slowly Venus rotates! A day on Venus is actually longer than a year on Venus! Distances to the Planets and Properties of Orbits Relative to Earth's Orbit Average Distance Length of Day (In Earth Length of Year (In Earth Planet from Sun (AU) Days) Years) Mercury 0.39 AU 56.84 days 0.24 years Venus 0.72 243.02 0.62 Earth 1.00 1.00 1.00 Mars 1.52 1.03 1.88 Jupiter 5.20 0.41 11.86 Saturn 9.54 0.43 29.46 Uranus 19.22 0.72 84.01 Neptune 30.06 0.67 164.8 The Role of Gravity Planets are held in their orbits by the force of gravity. What would happen without gravity? Imagine that you are swinging a ball on a string in a circular motion. Now let go of the string. The ball will fly away from you in a straight line. It was the string pulling on the ball that kept the ball moving in a circle. The motion of a planet is very similar to the ball on a strong. -
Angles ANGLE Topics • Coterminal Angles • Defintion of an Angle
Angles ANGLE Topics • Coterminal Angles • Defintion of an angle • Decimal degrees to degrees, minutes, seconds by hand using the TI-82 or TI-83 Plus • Degrees, seconds, minutes changed to decimal degree by hand using the TI-82 or TI-83 Plus • Standard position of an angle • Positive and Negative angles ___________________________________________________________________________ Definition: Angle An angle is created when a half-ray (the initial side of the angle) is drawn out of a single point (the vertex of the angle) and the ray is rotated around the point to another location (becoming the terminal side of the angle). An angle is created when a half-ray (initial side of angle) A: vertex point of angle is drawn out of a single point (vertex) AB: Initial side of angle. and the ray is rotated around the point to AC: Terminal side of angle another location (becoming the terminal side of the angle). Hence angle A is created (also called angle BAC) STANDARD POSITION An angle is in "standard position" when the vertex is at the origin and the initial side of the angle is along the positive x-axis. Recall: polynomials in algebra have a standard form (all the terms have to be listed with the term having the highest exponent first). In trigonometry, there is a standard position for angles. In this way, we are all talking about the same thing and are not trying to guess if your math solution and my math solution are the same. Not standard position. Not standard position. This IS standard position. Initial side not along Initial side along negative Initial side IS along the positive x-axis. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S.