To understand how to use dimensional analysis to solve problems. Dimensional ana

Question

To understand how to use dimensional analysis to solve problems. Dimensional analysis is a useful tool for solving problems that involve unit conversions. Since unit conversion is not limited to physics problems but is part of our everyday life, correct use of conversion factors is essential to working through problems of practical importance. For example, dimensional analysis could be used in problems involving currency exchange. Say you want to calculate how many euros you get if you exchange 3600 US dollars (USD), given the exchange rate 1 EUR = 1.20 USD, that is, 1 euro to 1.20 US dollars. Begin by writing down the starting value. 3600 USD. This can also be written as a fraction: 3600 USD/1 Next, convert dollars to euros. This conversion involves multiplying by a simple conversion factor derived from the exchange rate: How many gallons of fuel would the rental car consume per mile? Express your answer numerically in gallons per mile to three significant figures. What is the average cost, in dollars per gallon, of fuel in Europe? Express your answer numerically in dollars per gallon to three significant figures.

Explanation / Answer

USD/lit=1.069x1.2=1.275 1 gall=3.785lit USD/gall=1.2756x3.4854=4.828

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