Dimensional Analysis Worksheet #2 Web view08.12.2014 · Dimensional Analysis ... Mark is...

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KEY CCGPS Coordinate Algebra Dimensional Analysis & Unit Conversion Name ____________________________ Show ALL work in a neat and organized manner. LABEL UNITS! Do ALL work on your notebook paper! 1. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego? 125 miles x 1 hour 65 miles x 60 minutes 1 hour =115.38 minutes=115 minutes 2. Convert 50 years into seconds. 50 yearsx 365 days 1 year x 1440 minutes day x 60 seconds 1 minute =1.5768 billion seconds 3. Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? (1 mile = 5280 feet) 65 miles hour x 1 hour 60 minutes x 5280 ft mile x 22 minutes =125,840 ft. 4. Sally Leadfoot was pulled over on her way from Syracuse to Ithaca by an officer claiming she was speeding. The speed limit is 65 mph and Sally had traveled 97 km in 102 minutes. How fast was Sally’s average speed? Does she deserve a ticket? (1 mile=1.609 km) 97 km 102 minutes x 1 mile 1.609 km x 60 minutes 1 hour =35.46 mph. 5. Winnipeg is refilling the pool. How many gallons of water will it take if the pool is 50m by 25m by 1.5m? (1 gallon = 3.786 L) 50 mx 25 mx 1.5 m=1875 cu. meters. 1875 cu.metersx 1000 L 1 cu.m x 1 gallon 3.786 L =495245.64 gallo

Transcript of Dimensional Analysis Worksheet #2 Web view08.12.2014 · Dimensional Analysis ... Mark is...

Page 1: Dimensional Analysis Worksheet #2 Web view08.12.2014 · Dimensional Analysis ... Mark is running 12 feet per second and Mary is running 5 ... 20 ft x 15 ft ÷ 9 sq. ft per yard=33

KEYCCGPS Coordinate Algebra Dimensional Analysis & Unit Conversion Name ____________________________

Show ALL work in a neat and organized manner. LABEL UNITS! Do ALL work on your notebook paper!

1. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?125miles x 1hour

65milesx 60minutes1hour

=115.38minutes=115minutes

2. Convert 50 years into seconds. 50 y ears x 365days

1 yearx 1440minutes

dayx 60 seconds1minute

=1.5768billion seconds

3. Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? (1 mile = 5280 feet)65mileshour

x 1hour60minutes

x 5280 ftmile

x22minutes=125,840 ft .

4. Sally Leadfoot was pulled over on her way from Syracuse to Ithaca by an officer claiming she was speeding. The speed limit is 65 mph and Sally had traveled 97 km in 102 minutes. How fast was Sally’s average speed? Does she deserve a ticket? (1 mile=1.609 km)97km

102minutesx 1mile1.609 km

x 60minutes1hour

=35.46mph .

5. Winnipeg is refilling the pool. How many gallons of water will it take if the pool is 50m by 25m by 1.5m? (1 gallon = 3.786 L)50mx 25mx1.5m=1875 cu .meters .1875 cu .meters x 1000 L

1cu .mx 1 gallon3.786 L

=495245.64 gallons

Page 2: Dimensional Analysis Worksheet #2 Web view08.12.2014 · Dimensional Analysis ... Mark is running 12 feet per second and Mary is running 5 ... 20 ft x 15 ft ÷ 9 sq. ft per yard=33

KEYCCGPS Coordinate Algebra Dimensional Analysis & Unit Conversion Name ____________________________

6. Mark is running 12 feet per second and Mary is running 5 miles per hour. Who is running faster?

Mark : 12 ftsec

x 1mile5280 ft

x 3600 sechour

=8.18mph

7. A food company processes yogurt in 1 cup containers. The machine that fills the containers with yogurt runs 10 hours a day, 5 days a week. It fills 1200 cartons in an hour. How many gallons of yogurt are needed to fill 1200 cartons? IGNORE

8. The Smith family is driving to Florida and they have 350 left to drive before they reach their hotel. The car has a full tank of gas (15 gallons) and on the highway they average 24 miles per gallon. Will the Smith’s need to stop for gas before they reach the hotel? Show your calculations and explain why or why not in a complete sentence.

350miles vs .15 gallons x24mpg=360miles.

9. A room is 20 ft by 15 ft. The carpeting selected is $ 37 per square yard. What is the cost of the carpeting?

20 ft x15 ft ÷9 sq . ft per yard=33 13sq yards .33 1

3sq . yards x $37

sq yd=$1,233.33 .


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