12

Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

  • Upload
    others

  • View
    6

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements
Page 2: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements.

Page 3: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Conversion factors: ratios of equivalent measurements used in dimensional analysis

Page 4: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Three steps to problem solving:

1. Analyze

2. Calculate

3. Evaluate

Page 5: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

1. Read problem carefully

Read the problem several times if necessary

2. Find out what the problem is asking

Write down important information such as units

Page 6: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Make all your calculations:

May involve conversions, substitutions etc…

Page 7: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Check your answer-Does your answer make sense? Is it reasonable?Is it in the correct units?Is it in the correct number of significant figures

Page 8: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

How many days are there in 6 weeks?

You are looking for this!

This is your “given”.

Page 9: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Figure out what relationships you will have to know in order to convert from 1 unit to another.

1 week = 7 days

Page 10: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

Start with given and work toward what you are looking for.

6weeks = ? days

Page 11: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

6 weeks x = days1 week

7 days

Conversion Factor : top and bottom must be

equal in value

Page 12: Dimensional analysis is a way to analyze and solve ... 4 SS.pdf · Dimensional analysis is a way to analyze and solve problems using the units, or dimensions of the measurements

6 weeks x = days1 week

7 days

Cancel units : cancel

units to leave correct

units for the answer

Calculate : multiply

across top and bottom

and divide to get final

answer

42