Unit Analysis Practice Problems

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Dimensional Analysis Practice Problems Please set up your equations in the general form shown below, following the 3 steps for solving any unit analysis problem. Unit factors with the sign are defined (exact) quantities. 1) Write down the given units. 2) Write down the units asked for in the answer. 3) Apply one or more unit factor(s) to convert the given units to the units in the answer. Units Given Unit Unit Unit Factor Factor Factor = Units Asked For 1) The rod and the furlong are both units of distance. Find the number of furlongs in 500 rods. 1 furlong 750 rods 1 furlong 500 rods = 0.667 furlongs 750 rods 2) Pharmacists work in units known as apothecary units. In this system of units, the typical aspirin tablet contains 5 grains of the active ingredient (acetylsalicylic acid). Express this weight in kilograms. 20 grains (gr) 1 scruple (sc); 3 scruples 1 dram (dr); 8 drams 1 ounce (oz); 1 ounce = 31.103 grams; 1 kilogram (kg) 1000 grams (g) 1 sc 5 gr 1 dr 1 oz 31.103 g 1 kg = 3 x 10-4 kg 20 gr 3 sc 8 dr 1 oz 1000 g 3) The distance run in a marathon is 26.2 miles. How long (in hours) would it take a runner to complete the race assuming an average speed of 425 centimeters per second (cm/s)? 1 foot (ft) 12 inches (in); 2.54 centimeters (cm) 1 in; 1 hour (hr) 60 minutes (min); 1 min 60 seconds (s) 12 in 26.2 mi 5280 ft 2.54 cm 1 sec 1 min 1 hr = 2.76 hrs 1 mi 1 ft 1 in 425 cm 60 sec 60 min 4) Approximately 40 billion kilograms of sulfuric acid, H2SO4 is produced annually in the United States. Express this rate of production in units of pounds per day. 1 ounce (oz) = 28.35 grams (g); 1 kilogram (kg) 1000 grams (g); 1 pound (lb) 16 ounces; 365 days (d) = 1 year (yr) 9 40 x 10 kg 1000 g 1 oz 1 lb 1 yr 2 x 108 lbs = 1 yr 1 kg 28.35 g 16 oz 365 days day 5) The acre was originally defined as the area of land that a team of oxen could plow in one day. Express this rate in square meters per hour using the following modern conversion factors. 1 acre 4840 square yards (yd2); 3 feet (ft) 1 yard (yd); 12 inches (in) 1 ft; 2.54 centimeters (cm) 1 inch (in); 8 hours (hr) = 1 working day (wd) 2 2 2 2 2 1 acre 4840 yd 3 ft 12 in 2.54 cm 1 m 1 day 1 day 1 acre 1 yd 1 ft 1 in 100 cm 8 hrs 506 m2 = hr .

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The Metric System: America Measures Up. 1979 Edition. INSTITUTION Naval Education and Training Command, Washington, D.C
DOCONENT RESUME ED 191 707 031 '926 AUTHOR Andersonv.Glen: Gallagher, Paul TITLE The Metric System: America Measures Up. 1979 Edition. INSTITUTION Naval Education and Training Command, Washington, D.C. REPORT NO NAVEDTRA,.475-01-00-79 PUB CATE 1 79 NOTE 101p. .AVAILABLE FROM Superintendent of Documents, U.S. Government Printing .Office, Washington, DC 2040Z (Stock Number 0507-LP-4.75-0010; No prise quoted). E'DES PRICE MF01/PC05 Plus Postage. DESCRIPTORS Cartoons; Decimal Fractions: Mathematical Concepts; *Mathematic Education: Mathem'atics Instruction,: Mathematics Materials; *Measurement; *Metric System; Postsecondary Education; *Resource Materials; *Science Education; Student Attitudes: *Textbooks; Visual Aids' ABSTRACT This training manual is designed to introduce and assist naval personnel it the conversion from theEnglish system of measurement to the metric system of measurement. The bcokteliswhat the "move to metrics" is all,about, and details why the changeto the metric system is necessary. Individual chaPtersare devoted to how the metric system will affect the average person, how the five basic units of the system work, and additional informationon technical applications of metric measurement. The publication alsocontains conversion tables, a glcssary of metric system terms,andguides proper usage in spelling, punctuation, and pronunciation, of the language of the metric, system. (MP) ************************************.******i**************************** * Reproductions supplied by EDRS are the best thatcan be made * * from
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Land Measure 291-01 Tom Dorn, Extension Educator
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Appendix C – General Tables of Units of Measurement
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Appendix G Units of Measure
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