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Chapter 9: Problem 4

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. \(100 \mathrm{ft}\) to in.

Short Answer

Expert verified
The conversion of 100 feet to inches is 1200 inches.

Step by step solution

01

Identify the Given Value and the Desired Units

The given value that needs to be converted is 100 feet. The desired unit of measure we want to convert to is inches.
02

Locate the Correct Conversion Factor

There are 12 inches in a foot, so the conversion factor is either \( \frac{12 \, in}{1 \, ft} \) if we are converting from feet to inches, or \( \frac{1 \, ft}{12 \, in} \) if we are converting from inches to feet. Since we are converting from feet to inches in this scenario, we will use the conversion factor \( \frac{12 \, in}{1 \, ft} \).
03

Implement the Conversion

To convert the measure, multiply the given measurement by the conversion factor. This operation will cancel the unit of feet and introduce the unit of inches. \(100 \, ft \times \frac{12 \, in}{1 \, ft} = 1200 \, in\). The feet units cancel out, leaving us with the answer in inches.

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Most popular questions from this chapter

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated.English and Metric Equivalents$$\begin{aligned}&1 \text { in. }=2.54 \mathrm{~cm} \\\&1 \mathrm{ft}=30.48 \mathrm{~cm} \\\&1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\\&1 \mathrm{mi} \approx 1.6 \mathrm{~km}\end{aligned}$$ \(14 \mathrm{dm}\) to in.

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