Warmup:

1
Warm-up

• Someday, Im going to construct a basketball
  court in my backyard. Ill start by preparing a
  flat spot that is 36 ? 50 for the court. The
  court will be made by pouring concrete to a
  thickness of .5 ft over the whole area. How many
  yards of concrete should I order?
• (Hint A yard is short for one cubic yard,
  which is sometimes written as 1 yd3.)

2
Dimensional Analysis

• Dimensional analysis includes converting a
  quantitys value from one set of units to
  another.
• For example 1 mile 5280 ft
• The quantity doesnt change, only the units.

3
Dimensional Analysis

• The two key ideas of Dimensional Analysis
• 1. What number makes this true 4 _ 4?
• Fact we can multiply by 1 as many times as we
  like without changing the value of the quantity.

4
Dimensional Analysis

• The two key ideas of Dimensional Analysis
• 2. What is 7/7 ?
• How about 1023/1023 ?
• And x/x ?
• Fact anything divided by itself is equal to 1.

5
Dimensional Analysis

• Question What do the following have in common?
• 3 tennis balls / 1 can
• 12 slices / 1 pizza
• 1 foot / 12 inches
• Answer They are all equal to 1!!!
• (two names for the same objectuse fact 2)

6
Dimensional Analysis

• Put the two facts together to find out how many
  seconds there are in 12 hours

7
Dimensional Analysis

• Put the two facts together to find out how many
  seconds there are in 12 hours
• 12 hrs 60 min 60 sec 43,200 sec
• 1 hr 1 min

8
Dimensional Analysis

• Put the two facts together to find out how many
  seconds there are in 12 hours
• 12 hrs 60 min 60 sec 43,200 sec
• 1 hr 1 min

9
Dimensional Analysis

• Put the two facts together to find out how many
  seconds there are in 12 hours
• 12 hrs 60 min 60 sec 43,200 sec
• 1 hr 1 min

10
Dimensional Analysis

• Put the two facts together to find out how many
  seconds there are in 12 hours
• 12 hrs 60 min 60 sec 43,200 sec
• 1 hr 1 min
• 12 hrs 1 1 43,200 sec

11
Dimensional Analysis

• Train Track Method
• Instead of using the sign in these problems,
  were going to use the Train Track Method

12
Dimensional Analysis

• Train Track Method
• Instead of using the sign in these problems,
  were going to use the Train Track Method

13
Dimensional Analysis

• Train Track Method
• Instead of using the sign in these problems,
  were going to use the Train Track Method

14
Dimensional Analysis

• Train Track Method
• Instead of using the sign in these problems,
  were going to use the Train Track Method

15
Dimensional Analysis

• Solve this one using the Train Track Method
• How many inches are in 1 meter?
• Use 1 in 2.54 cm

16
Dimensional Analysis

• Think youre good?
• Try converting 10 mph (mi/hr) into yd/s using the
  Train Track Method.

17
Dimensional Analysis

• Copy these conversion factors into your notes or
  print them off from the website
• 1 mile 5280 ft 1 in 2.54 cm
• 1 furlong 220 yards 1 fathom 6 ft
• 1 league 3 miles 1 qt .95 liters
• 128 fl oz 1 gallon 1 barrel 63 gallons
• 8 pints 1 gallon 2 pints 1qt
• 1 pound 454 grams 1 pound 4.45 N
• 1 ton 2000 pounds