DimensionsDimensions

By:By:

Michelle LotfiMichelle Lotfi

Joslyn MattJoslyn Matt

Kris RakestrawKris Rakestraw

Katrina WeberKatrina Weber

Set ASet A

MoneyTime Dollars Hour

Length

(Length x Force) / Time

Length x Force

(Money/ Length) ( Force)

Cm^3

Foot pounds per second

Newton Meters

Cents per Kilowatt

3

Set BSet BAcceleration x d = speedAcceleration x d = speed

(Miles/Hour) / Sec x d = Miles/ Hour(Miles/Hour) / Sec x d = Miles/ Hour

(Miles/ Hour) x (1/ sec) x d = Miles/ Hour(Miles/ Hour) x (1/ sec) x d = Miles/ Hour

(1/sec) x d = (Miles/Hour)/(Miles/Hour)(1/sec) x d = (Miles/Hour)/(Miles/Hour)

(1/sec) x d = 1(1/sec) x d = 1

D= secD= sec

Sec= TimeSec= Time

(Miles/Hour) / Sec x d = Miles/ Hour(Miles/Hour) / Sec x d = Miles/ Hour

(Miles/ Hour) x (1/ sec) x d = Miles/ Hour(Miles/ Hour) x (1/ sec) x d = Miles/ Hour

Set CSet C

$30,000 $30,000 per working per working year=year=

$30000$30000

Working Working yearyear

X X 1 work year1 work year

52 work weeks52 work weeks

1 work week1 work week

5 work days5 work daysX X 1 work day1 work day

8 hours8 hours$14.2 $14.2 Work hourWork hour

==X

Set DSet DWhile Betty and Jim were on a 2 week vacation, they left a 150 watt light bulb burning. If their power company charges 8 cents per kilowatt hour of electricity, what did leaving the light on cost them?

150 watt X 2 weeks X 1 kwh

1000 watt

X 7 days

1 week

X 24 hours1 day

X 8 cents

1 kwh

X $1100 cents

= $4.03

Model ExamModel ExamWhich of the following are dimensionally equivalent?

a) Kilowatt hours

b) Dollars per cubic centimeter

c) Newton meter seconds

d) Joules

e) Centimeters per acre foot

f) Miles per hour

g) Calories

A, D, G are dimensionally equal

B, E are dimensionally equal

Model ExamModel ExamPerform the following conversions:

a) 944 calories to Joules = 3950 Joules

b) 59 in^3 to cm^3 = 967 cm^3

c) Would you rather sell your wheat for $4.94 per bushel or 339 DM per metric ton?

(1 DM= $0.56 )

4.94 $/ bushel = 323.5 DM/ metric ton

Thus 339 Dm/metric ton is the better price.

Applications in the Real WorldApplications in the Real World

Chemistry: Stoichiometry, when converting grams to moles

Food: When converting cups to pints in recipes

Nutrition: When converting calories to different units of energy

Product Comparison: When comparing savings, how much each ounce is priced

USA and the Metric SystemUSA and the Metric System

Why won’t the US convert to the Metric System??

Contact the President’s Science Advisory Board to petition the change:

pcast@ostp.gov pcast@ostp.gov

Works citedWorks cited Strecker, George E. Strecker, George E. Keeping Dimensions Straight. Keeping Dimensions Straight. COMAP, Inc, Suite 210, 57 Bedford COMAP, Inc, Suite 210, 57 Bedford

Street, Lexington, MA 02173.Street, Lexington, MA 02173. Russ Rowlett and the University of North Carolina at Chapel Hill. Russ Rowlett and the University of North Carolina at Chapel Hill. “The Metric System in “The Metric System in

the United States, How Many?”the United States, How Many?” A Dictionary of Units of Measurement. A Dictionary of Units of Measurement. http://www.unc.edu/~rowlett/units/usmetric.html-. accessed 7.15.2010accessed 7.15.2010 I obtained I obtained

knowledge of the United States’ position on the metric system and its use within knowledge of the United States’ position on the metric system and its use within country borders.country borders.

Robin Lloyd, “Robin Lloyd, “Metric mishap caused loss of NASA orbiter” Cable News Network, Metric mishap caused loss of NASA orbiter” Cable News Network, http://www.cnn.com/TECH/space/9909/30/mars.metric.02/ , , accessed 7.15.2010accessed 7.15.2010

http://scrapetv.com/News/News%20Pages/Games/Games%20Pages/6-things-wed-like-to-see-in-the-next-generation-of-videogame-speculation-2-Scrape-TV-The-World-on-your-side.html- apples and oranges background apples and oranges background

http://blog.thefoundationstone.org/wp-content/uploads/2009/11/ -hourglass image -hourglass image http://esoriano.wordpress.com/2007/05/15/69/ -man with sack of money imagehttp://esoriano.wordpress.com/2007/05/15/69/ -man with sack of money image http://bottomlesscupmusic.typepad.com/education/2009/08/my-2-cents.html -Two http://bottomlesscupmusic.typepad.com/education/2009/08/my-2-cents.html -Two

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