What is dimensional analysis?
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Answer:
Dimensional analysis, also known as factor-label method or unit-factor method, is a method used to convert one unit to a different unit. To do this, we make use of a conversion factor, which is a numerical quantity that we multiply or divide to the quantity or number that we want to convert.
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In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed. The conversion of units from one dimensional unit to another is often easier within the metric or SI system than in others, due to the regular 10-base in all units. Dimensional analysis, or more specifically the factor-label method, also known as the unit-factor method, is a widely used technique for such conversions using the rules of algebra.