1. Dimensional Analysis
How to calculate something and someone know what you did or was trying to do!

2. What is Dimensional Analysis?
It is a fancy word for getting the correct “units” or “dimensions”
Sometimes referred to as “railroad tracks”
It helps you keep up with units.
Let’s convert days to seconds
This is the main “track”
I day
24 hours
60 minutes
60 seconds
= 86,400 seconds
I day
1 hour
1 minute
You work with numbers on top and bottom. On top you multiply, on the
Bottom you divide. Each set is separated by a line.

3. Let’s do another one! Let’s convert 1000 gallons/hour to liters/sec.
We have
the units
we need.
Liters on
top and
seconds
on bottom
1000 gallons
3.785 liters
1 hour
1 minute
1 gallon
60 minutes
60 seconds
hour
You multiply the top numbers and divide by the bottom!
= 1.05 liters/second

4. Let’s do some more! Let’s convert 450,000 gallons to liters
Let’s convert 1,500,000 inches to miles
1,500,000 inches
1 foot
1 mile
= 23.7 miles
12 inches
5,280 feet

5. Let’s do some more! Let’s convert 23 short tons to ounces
2,000 lbs.
16 ounces
= 736,000 ounces
1 ton
1 lb.
Let’s convert 1,500,000 cm to miles
1,500,000 cm
1 inch
1 foot
1 mile
= 9.3 miles
2.54 cm
12 inches
5,280 feet