dimensional analysis or unit analysis sec 2.6. warm up exercises
TRANSCRIPT
Dimensional Analysisor Unit Analysis
Sec 2.6
Warm Up Exercises
3
2
1
3 2
5
5
3
ft
in
1
ft
sec
min
min
ft
Warm Up Exercises
mi 1
ft 5280
sec 60
min 1
min 60
1hr
hr
mi 90
To convert from one unit to another, such as feet to inches, you multiply the original unit by a conversion factor that produces the desired unit.
A conversion factor is a ratio of two equivalent measures in different units. A conversion factor is always equal to 1.
How many inches are in 5 feet?
Problem: 5 feet = _______ inches
Conversion Factor:
ft 1
in 12or
in 12
ft 1
in 601ft
in 12
1
ft 5
Convert: 26 inches to feet
Problem: 26 inches = ________ feet
Conversion factor: in 12
ft 1
ft 6
12
12
ft 26
in 12
ft 1x
1
in 26
Converting from standard units to metric units
8 inches = ___________centimeters
Conversion factor: in 1
cm 2.54
cm 20.32 in 1
cm 2.54x
1
in 8
CONVERTING RATES45 miles per hour = ________ feet per hour
Conversion Factor: mile 1
ft 5280
hr 1
ft 237,600
mi 1
ft 5280x
hr 1
mi 45
45 miles per hour = ________ miles per minute
Conversion Factor: min 60
hr 1
min 1
mi43
min 60
hr 1x
hr 1
mi 45
45 miles per hour = ________ feet per minute
Conversion Factors: min 60
hr 1
min 1
ft 3960
mi 1
ft 5280x
min 60
hr 1x
hr 1
mi 45
mi 1
ft 5280and