Problem of the DayWrite the conversion factor needed to convert the following…

1)172 ounces = _____ pounds

Write the conversion factor needed to convert the following…

2) 2.4 kL = _____ L

5-6: Dimensional AnalysisCourse 3 book; Section 5-3

Using Conversion Ratios to Convert Units of Measurement

Vocabulary

Conversion Factor

A fraction whose numerator and denominators represent the same quantity

but use different units

To write a Conversion Ratio…

I. Find the Ratio that can be multiplied with the original Ratio that will…

cancel the original unit, while introducing the desired unit.

To solve problems using Conversion Ratios…I. Write the original units as a Ratio…

II. Write the conversion Ratio, so the original unit cancels, through cross cancellation, while introducing the desired unit.

III. Multiply the two Ratios… include the newly converted units in your answer.

IV. Find the Unit Ratio of the newly Converted Ratio.

ExamplesFind the appropriate Conversion Ratio to each conversion.

A) Feet to Yards

Original unit is Feet; Converting to Yards

ExamplesFind the appropriate Conversion Ratio to each conversion.

A) Feet to Yards

Original unit is Feet; Converting to Yards

ft

yd

3

1

ExamplesFind the appropriate Conversion Ratio to each conversion.

B) Pounds to Ounces

Original unit is Pounds; converting to Ounces

ExamplesFind the appropriate Conversion Ratio to each conversion.

B) Pounds to Ounces

Original unit is Pounds; converting to Ounces

lb

oz

1

16

Examples

C) The average American uses 580 pounds of paper per year. Find the number of pounds of paper the average American uses per month. Round answer to the nearest tenth.

Examples

C) The average American uses 580 pounds of paper per year. Find the number of pounds of paper the average American uses per month. Round answer to the nearest tenth.

yr

lbs

1

580

Examples

C) The average American uses 580 pounds of paper per year. Find the number of pounds of paper the average American uses per month. Round answer to the nearest tenth.

months

pounds

months

yearx

year

pounds

12

580

12

1

1

580

yr

lbs

1

580

Examples

C) The average American uses 580 pounds of paper per year. Find the number of pounds of paper the average American uses per month. Round answer to the nearest tenth.

months

pounds

months

yearx

year

pounds

12

580

12

1

1

580

month

pounds

months

pounds

1

3.48

1212

12580

yr

lbs

1

580

Examples

D) A car traveled 60 miles in 2 hours. How many feet per second was the car traveling?

Examples

D) A car traveled 60 miles in 2 hours. How many feet per second was the car traveling?

hrs

miles

2

60

Examples

D) A car traveled 60 miles in 2 hours. How many feet per second was the car traveling?

onds

miles

onds

hourx

hours

miles

sec7200

60

sec3600

1

2

60

hrs

miles

2

60

Examples

D) A car traveled 60 miles in 2 hours. How many feet per second was the car traveling?

onds

miles

onds

hourx

hours

miles

sec7200

60

sec3600

1

2

60

onds

feet

mile

feetx

onds

miles

sec7200

800,316

1

5280

sec7200

60

hrs

miles

2

60

Examples

D) A car traveled 60 miles in 2 hours. How many feet per second was the car traveling?

44 feet per second

onds

miles

onds

hourx

hours

miles

sec7200

60

sec3600

1

2

60

onds

feet

mile

feetx

onds

miles

sec7200

800,316

1

5280

sec7200

60

hrs

miles

2

60

ond

feet

onds

feet

sec1

44

7200sec7200

7200800,316

Examples

E) A strobe lamp can be used to measure the speed of an object. The lamp flashes every 1/100 of a

second. A camera records the object moving 52 cm between flashes. How fast is the object moving in m/s?

Examples

E) A strobe lamp can be used to measure the speed of an object. The lamp flashes every 1/100 of a

second. A camera records the object moving 52 cm between flashes. How fast is the object moving in m/s?

sec100

152cm

Examples

E) A strobe lamp can be used to measure the speed of an object. The lamp flashes every 1/100 of a second. A camera records the object moving 52 cm between flashes. How fast is the object moving in m/s?

sec1

52

100

1

sec100

152 m

cm

mx

cm

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

sec69.9

100m

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

sec69.9

100m

sec69.9

328

sec69.9

100 ftm

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

sec69.9

100m

sec69.9

328

sec69.9

100 ftm

sec3.163,51

328

280,5

1

sec69.9

328 miles

ft

mileft

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

sec69.9

100m

sec69.9

328

sec69.9

100 ftm

sec3.163,51

328

280,5

1

sec69.9

328 miles

ft

mileft

hrs

miles

hr

miles

3.163,51

800,180,1

1

sec3600

sec3.163,51

328

F) Usain Bolt won the gold medal in the Beijing Olympics by running the 100-meter sprint in 9.69 seconds. How fast was Bolt running in Miles per Hour? (Hint: 1 meter is approximately 3.28 feet).

Approximately 23 miles per hour

sec69.9

100m

sec69.9

328

sec69.9

100 ftm

sec3.163,51

328

280,5

1

sec69.9

328 miles

ft

mileft

hrs

miles

hr

miles

3.163,51

800,180,1

1

sec3600

sec3.163,51

328

hour

miles

hrs

miles

1

079043.23

3.163,513.163,51

3.163,51800,180,1