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Linear Measure
2.54 cm	=	1 in
12 in	=	1 ft
5280 ft	=	1 mi
1 m	=	3.28 ft
1 km	=	0.621 mi
1 furlong	=	660 ft

Weight/Mass
1 stone	=	14 lbs
1 lb	=	0.454 kg
1 oz	=	28.3 g
16 oz	=	1 lb
1 metric ton	=	1.10 ton
1 metric ton	=	103 kg

Volumetric Measure
1 cm3	=	1 mL
1 gal	=	3.78 L
14.79 mL	=	1 tbsp.
1 m3	=	103 L
1 cup	=	237 mL
1 gal	=	4 quarts

Time
60 s	=	1 min
60 min	=	1 hr
24 hr	=	1 day
365 day	=	1 yr
10 yr	=	1 decade
100 yr	=	1 century

Use dimensional analysis to solve the following problems. Show all work by including the following:

1. The unit equality (ex.: 12 in = 1 ft)
2. The number (w/unit) multiplied by the conversion factor obtained using the unit equality
3. Cancellation of the units
4. The answer showing the new unit

All of the above must be included for full credit. Answers without work clearly shown will receive half credit…if correct.

1. Currently $1.44 is equivalent to €1.00 (the euro: the currency used in the European Union). What is $1.00 equivalent to in euros?
2. High speed trains in Japan reach speeds of around 200 km/hr. Trains running between Boston and New York can attain a speed of up to 160 mi/hr. Which trains are faster, those in the US or in Japan?
3. You pass a road sign stating that the distance to Montreal is 125 km. If you travel at a constant speed of 90. km/hr how long will it take you to reach the city?
4. You are in the German city of Freiburg im Breisgau. In the Marktplatz there is a farmer’s market where you find peaches for a price of €2.45 per kilogram. Using the exchange rate quoted in the first problem on this page calculate the cost of a pound of peaches.

5. You are in the process of choosing a new car. One model you really like gets 33 miles per gallon on the highway. The one your parents like (because it’s safer) gets 18 kilometers per liter. Which car has better gas mileage?
6. How many minutes does it take light from the Sun to reach Earth? (The distance from the Sun to Earth is 9.3 × 10⁷ mi; the speed of light is 3.00 × 10⁸ m/s; Convert mi to m and find a result in s; then convert to min).
7. Alpha Centauri is the nearest star to our Sun at 4.3 light years. How far is this in miles? (A light-year is the distance traveled by light in a year, or 365 days; the speed of light is still 3.00 × 10⁸ m/s).
8. In the science fiction series called Star Trek the starship U.S.S. Enterprise can travel faster than the speed of light. The various faster-than-light speeds are referred to as warp factors. Warp factor 1.71 is equal to five times the speed of light (3.00 × 10⁸ m/s). What speed, in mi/hr, is the Enterprise traveling at when it is at warp factor 6?