Chapter 2, Problem 3SC

Interpretation Introduction

Interpretation:

The correct conversion factor for converting distance in kilometres to miles is to be identified.

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;

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