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Dimensional Analysis

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by

Kim Richardson

on 17 September 2013

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Transcript of Dimensional Analysis

Dimensional Analysis (D.A.)
What is it?
Writing Conversion Factors
Using Conversion Factors
Definition:
A systematic approach to problem solving that uses conversion factors to move, or convert, from one unit to another.
Dimension = Unit, so D.A. = "unit analysis".
A
conversion factor
is a ratio of equivalent values having different units.
For example: 1 minute = 60 seconds can be written as a conversion factor, that allows us to convert from minutes to seconds, or seconds to minutes.
You already use dimensional analysis to solve problems. Consider the following problem:
How many pizzas do you need to order for 32 people if each person will eat 3 slices, and each pizza has 8 slices.
Conversion factors come from equality relationships such as:
1 pizza = 8 slices
1 dozen = 12 things
1 foot = 12 inches
1 liter = 1000 mL
For each equality, we can write two conversion factors.
Allow you to convert from one unit to another.
All units except the wanted unit cancel.
E. Q. What is dimensional analysis?
Full transcript