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Chapter 9: Problem 16

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. \(0.25 \mathrm{mi}\) to \(\mathrm{ft}\)

Short Answer

Expert verified
The answer is \(0.25 \mathrm{mi} = 1320 \mathrm{ft}\).

Step by step solution

01

Understanding the Conversion Factor

The conversion factor between miles and feet is \(1 \mathrm{mi} = 5280 \mathrm{ft}\). You have to convert miles to feet using this factor.
02

Setting up the Conversion

Now, multiply the quantity given in miles by the conversion factor. The miles will cancel out and the result will be in feet. That is, \(0.25 \mathrm{mi} \times 5280 \mathrm{ft}/\mathrm{mi}\). The \(\mathrm{mi}\) in the numerator and denominator cancel each other out, so the final units will be in feet.
03

Calculating the Result

Now carry out the multiplication: \(0.25 \times 5280 = 1320\). Therefore, \(0.25 \mathrm{mi}\) is equivalent to \(1320 \mathrm{ft}\)

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Most popular questions from this chapter

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Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated.English and Metric Equivalents$$\begin{aligned}&1 \text { in. }=2.54 \mathrm{~cm} \\\&1 \mathrm{ft}=30.48 \mathrm{~cm} \\\&1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\\&1 \mathrm{mi} \approx 1.6 \mathrm{~km}\end{aligned}$$ \(20 \mathrm{~m}\) to \(\mathrm{yd}\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The most frequent use of dimensional analysis involves changing units within the metric system.
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