Chapter 1, Problem 64RQ

Interpretation Introduction

Interpretation:

The given conversions are to be carried out by dimensional analysis.

Concept Introduction:

Dimensional analysis is a way to interpret and convert units of measurement of a physical quantity and to find the relationship between them. A prediction of the relationship between units is to be made in order to convert one unit to another.

Conversion factor is a number which helps change one set of units to another by division or multiplication.

The conversion factors are as:

$\begin{array}{l}\text{1 in = 2}\text{.54 cm,}\text{conversion factor is }\frac{\text{2}\text{.54 cm}}{\text{1 in}}\\ \begin{array}{l}\text{1 cm = 10 mm, conversion factor is }\frac{\text{10 mm}}{\text{1 cm }}\hfill \\ \text{1yd = 3 ft, conversion factor is }\frac{\text{3 ft}}{\text{1yd }}\hfill \end{array}\\ \text{1 m = 100 cm},\text{ conversion factor is }\frac{\text{100 cm}}{\text{1 m }}\\ {\text{1 cm}}^{\text{3}}\text{ = 1 mL, conversion factor is }\frac{\text{1 mL}}{{\text{1 cm}}^{\text{3}}}\\ \text{1 L = 1000 mL, conversion factor is }\frac{\text{1000 mL}}{\text{1 L }}\end{array}$