More Conversions Worksheet k~r Use Dimensional Analysis to solve the following problems. 1. How many seconds old is a 14 year old student? . q4Ii~6~4cD~ )j ",r~ 3~~.l-7ck" lC ZH hJ5 bOM}f\ ~bfp. l'1 { / f ---- )(.--- ;'w;.":---- Iye»f lJ~ Ihl- Iv'\\'" 2. How many miles in a 5 kIn race? 3,i10 ~; (k It\\; - ? 1M- t\ l1ktA - 3. How many kilometers in a 26 mi marathon? /) i L b k.l~ - Lbty\( 'f.. ~ ~ I )'V 'I 4. A person's weight is 154 pounds. Convert this to kilograms. (1lbs. = 454 grams) 5. An aspirin tablet contains 325 mg of acetaminophen. How many grains is this equivalent to? (1 gram = 15.432 grains) _ 6. I Table of Weights and Measures I I Lengtit II Area II .ValuMe I I nautical mile = 6076.11549 I township = 36 square miles 4 gills = I pint feet *Derive your area conversion 2 pints = I quart 1 inch = 2.54 cm factors by working with length 1 liter = 1.0567 quarts 1 league = 5 280 yards and squaring all dimensions. I bushel = 4 pecks = 32 quarts I cable = 120 fathoms Ex. 1 gallon = 4 quarts I fathom = 6 feet 122 inch2 = 12 fooe 1 degree = 69.047 miles or 1 mile = 5280 feet 144 square inch = 1 square I hand = 4 inches foot a. Your cruise ship is leaving for a 610-league adventure. How many nautical miles is this? b. Later the ship sinks and is discovered at 38 fathoms deep under water. Convert this to meters. 35-fh" < ili X ~, Z!f{ Y'1 < ~"- Tb9.4qli~ ,6] I -ro--1k,~ [,{t- 1 i(\ ) 'U\'l. f c.. ~ ~. Physics More conversions (green) edited 8/26/2013 c. If you are rationed to 32 gills of fresh water a day. How many liters is this? _ ~l"'l\~)<~ K l~wJ~~ f I;-kr. :-~. -, 1:-kr5 -' JI., Ljj~ll s Lf" rfs I.?b 7ri<" ../ d. The island has an area of 3.5 townships. How many square yards is this? (please use scientific notation.) ., r: , 3 l 5~*- (l9bft • I It. 7t 1- ~,)-bw,,5k;r:;x~ x~j.~x~x~~ l .d' 9D 1.10~yl +tMJ(I>\'vf V"" I ~I ?-h.1++- ' e. To reach the top of a palm tree for a coconut you will have to climb 7.4 meters. How many hands is this? _ 7,~M", I' tr" ~ x :W:: 72.'63 U, 1M ZJfta/\ ~ if'. f. The island is rich with hot chile peppers. You can collect 1.6 pecks a day. How many liters could you collect in 1 week? .. ["'eLk, 7J..'y s !< ~s J' 3 2J.~1i' ,\t d~ 1.09 !;+<L ~ ~v t,f . s l.(;%7~ -- 3 g. Each liter of air has a mass of/1.80 gr s. How many lIters 01' air are contained in 2.5 x10 kg of air? f;> /0 71~,( ~ '( llikc- -- 2 • 'I. ) \ ~ 1.'6'0 Multiple conversions' 3 7. 16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories? Zl60Lojont) x !~&r'5 ::~bq, h 'q,0,Y\)-j \')0 t-o-lorlb ~ r J- - 8. The cost of 1.00 Liters of gas is 96.9 cents. How many dollars will 12.0 gallons cost? IlD)Ii-~Ajx 4r~'~~if<r.-:, ;< Qb3.l :: ~ ~q,i) /) , lY1~IM /- 05bl rf-j I /.'1U 9. Light travels 186 000 miles / second. How long is a light year in meters? (1 light year is the distance light travels in one year) . I Ii-. ' - 1 1 . 3i/3.2JJk, 1.41wri" WDo;a: X .IV""x ~ JI [000 ~- =- 9.39 ID ? yw ,x l'tt£'f I~ ' ~JiJJ t ~t(. lIlA I I 1c.1V\. Y M 10.1 mole ofSi atoms contains 6.02 x1023 atoms. 6.02 xl023 atoms ofSi have amass of28.1 g. How many atoms of Si are contained in ~ computer chip that mass~s.3_K,__Qkglg1 _ ._' )~, D1 Y'Ij,.lJ-- X b. D~I if ;v-~T"-\ :: ,I ~ ' Iq5)(/1)1.0 IA-ioi"J 'OlYJ tr'j 25 .I5 <------- ----.J Physics More conversions (green) edited 8/26/2013.