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Dimensional Analysis (also called Factor-Label Method or the Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value.
Example of Dimensional Analysis For example, 60 minutes is the same as 1 hour, 1000 meters is the same as 1 kilometre, or 12 months is the same as 1 year. Let us try to understand it in this way. Imagine you have 15 pens and you multiply that by 1, now you still have the same number of 15 pens.
The Trick to Dimensional Analysis is to keep your units in your conversion factors, and set them up so all units cancel except the units you want in your answer. This is easiest seen by looking at a problem. General Strategy: Write down what is given.
Dimensional analysis is the use of a set of units to establish the form of an equation, or more often, to check that the answer to a calculation as a guard against many simple errors. The units included in the set are: Quantity. Unit. Dimension symbol.
Dimensional Analysis Identify the given (see previous concept for additional information). Identify conversion factors that will help you get from your original units to your desired unit. Set up your equation so that your undesired units cancel out to give you your desired units.
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1) two physical quantities can only be equated if they have the same dimensions 2) two physical quantities can only be added if they have the same dimensions 3) the dimensions of the multiplication of two quantities is given by the multiplication of the dimensions of the two quantities.
Performing dimensional analysis is a pretty easy process. All you have to do is set up a series of fractions where the units end up canceling out. Remember, when you have fractions and want something to cancel out, you have to make sure it is present in both the numerator and denominator.

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