MAT 142
Lecture Video Series
Dimensional Analysis
Objectives
• Convert from one unit to another unit.
Basic Unit Equivalencies
Distances
• 12 inches = 1 foot
• 3 feet = 1 yard
• 5280 feet = 1 mile
Basic Unit Equivalencies
Distances
• 1000 meters = 1 kilometer
• 100 centimeters = 1 meter
Basic Unit Equivalencies
Times
• 60 seconds = 1 minute
• 60 minutes = 1 hour
• 24 hours = 1 day
Basic Unit Equivalencies
Times
• 12 months = 1 year
• 52 weeks = 1 year
• 365 days = 1 year
Basic Unit Equivalencies
Times
• 4 quarters = 1 year
• 2 semiannual periods = 1 year
• 1 biannual period = 2 years
Basic Idea Behind Converting
Multiplying by 1 does not change a
number.
We just need to pick the right
form of the number 1 to multiply
by.
Use dimensional analysis to convert 8
yards to feet.
Use dimensional analysis to convert
520 days to years.
Use dimensional analysis to convert
350 feet per second to miles per
hour.
Use dimensional analysis to convert 9
square feet to square inches.
Use dimensional analysis to convert
782 cubic inches to cubic yards.
Given 15 porks per 2 pigs and 5 pigs
per 3 pokes, convert 40 porks to
pokes.
Given 13 morks is 1 gloe, 5 gloes is 1
flit, 7 kits is one lonk, and 10 lonks is
1 gall.
Convert 90 morks per kit to flits per
gall.
Elizabeth Jones
for
The School of Mathematical and Statistical
Sciences
at
Arizona State University
Videographer
Mike Jones