Organized method of problemsolving Used in chemistry physics engineering and medicine Communicates the path to scientists that follow your work Records your own path for your future use Dimensional Analysis ID: 264180
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Slide1
Dimensional Analysis
Organized method of problem-solving
Used in chemistry, physics, engineering, and medicine
Communicates the path to scientists that follow your work
Records your own path for your future useSlide2
Dimensional Analysis
Calculate the number of minutes in 3.61 hours
.
Write
the
given
and draw the chart.Slide3
Dimensional Analysis
Think of a relationship: 1 hr = 60 min
Cancel units diagonally.
Calculate the number of minutes in 3.61 hours
.
Slide4
Dimensional Analysis
How
many centimeters are in 4.2
inches
?
Write
the given and
draw the chart.Slide5
Dimensional Analysis
How
many centimeters are in 4.2
inches
?
Think of a relationship: 1 in
= 2.54 cm
Cancel units diagonally.Slide6
Dimensional Analysis
Find
the number of seconds in two weeks
.
Realize
that we don’t know j
ust one step from weeks to seconds. Start
as usual.Slide7
Dimensional Analysis
Think
of a relationship: 1
wk
=
7 days
Cancel
units diagonally.
Find
the number of seconds in two weeks
.Slide8
Dimensional Analysis
Extend
your table.
Find
the number of seconds in two weeks
.Slide9
Dimensional Analysis
Think of a relationship: 1
wk
=
7 days
Cancel units diagonally.
Find
the number of seconds in two weeks
.Slide10
Dimensional Analysis
Find
the number of seconds in two weeks
.
Add
as many conversions as needed.Cancel
units diagonally.Slide11
Dimensional Analysis
Convert
the density of 0.58 g/mL to lb/gallon.
(
1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Notice the use of the bottom space.Slide12
Dimensional Analysis
Convert
the density of 0.58 g/mL to lb/gallon.
(
1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Ignore the bottom unit for a moment.Concentrate on converting the top unit.Slide13
Dimensional Analysis
Convert
the density of 0.58 g/mL to lb/gallon.
(
1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Continue converting the top.
Stop when you get to lb…the goal.Slide14
Dimensional Analysis
Convert
the density of 0.58 g/mL to lb/gallon.
(
1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Now, focus on the bottom units.
It is OK to cancel units from a distance.Slide15
Dimensional Analysis
Convert
the density of 0.58 g/mL to lb/gallon.
(
1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Continue until you reach the goal.
5 lb/gal
Slide16
iRespond Question
Fill-In
1.
1849
yards = __________ miles
Hint: 5280 ft = 1
mile and 1 yard = 3 feetA.) 1.051;;
B.) C.) D.)
E.)
F
Mini-QuizSlide17
iRespond Question
Fill-In
2.
If
Boston and New York City are 190 miles apart, then the distance between the two cities is _______ km.
Hint: 1 km =
0.62 milesA.) 310;;
B.) C.) D.)
E.)
F
*give
your
answer
accurate to 1 decimal place.Slide18
iRespond Question
Fill-In
3.
If
a US car
gets
26 miles/gallon on the highway, then the same car would be described in Europe as getting ___________ km/L.Hint: 1 L = 1.06 qt 4 qt = 1 gal
1 km = 0.62 milesA.) 11;;B.)
C.)
D.)
E.)
F
*give
your
answer
accurate to 1 decimal place.