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This text is meant to accompany class discussions. It is not everything there is to know about dimensional analysis. It is meant as a  prep for class. More detailed notes and examples are given in the class notes, presentations, and demonstrations (click here.)

Click for the questions that go with this reading
Converting Fractional Units


The video below shows how to convert fractional units.


This YouTube video can be found at,


  • Questions 3
  • Numerical Answer
  • Solution
  • Your Paper
The difference between walking and running is the number of feet in contact with the ground. When walking, at least one foot must be in contact with the ground at all times. When running, at some point in the in the stride both feet are in the air. If a person is walking at 7 miles/hour, then how many "walking paces"/second is this. (An average walking pace has a length of 31 inches.) Work out the problem and then check your answer below.
3.97 paces/second

You may need the dimensional analysis fact sheet, click here.


Your graphing calculator will look like this
(All the numbers in the numerator in the parentheses)/(all the numbers in the denominator in parentheses) ...see below

Calculator screen

Notebook paper example


Quiz You have seen some examples of how porblems are solved. This quiz will help you to how to start when solving porblems.
Choose the best answer. It does not matter how many questions you miss. What matters is that you learn from any mistakes.



This is a very basic dimensional analysis. In class we will discuss conversion of fractional units and units raised to a power. Click here for the class notes to see more examples.


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by Tony Wayne ...(If you are a teacher, please feel free to use these resources in your teaching.)