Chapter 2, Problem 27E

Interpretation Introduction

Interpretation:

Each of the given conversions of English system to metric system and vice versa is to be performed.

Concept Introduction:

Dimensional analysis is useful in converting one unit to another.

To convert a quantity $a{u}_1$ from one unit to another, that is, $u_1\to u_2$, first write a conversion factor $\frac{u_2}{u_1}$, then multiply the conversion factor with the given quantity $a{u}_1$, cancelling units to get the quantity in the desired unit as follows:

$a\cancel{u_1}\times \frac{u_2}{\cancel{u_1}}=a{u}_2$