Finding the width of a letter, word, or phrase

Put the word in a box, and measure the width of the box. For example,

  \newdimen\stringwidth
  \setbox0=\hbox{hi}
  \stringwidth=\wd0
Note that if the quantity in the \hbox is a phrase, the actual measurement only approximates the width that the phrase will occupy in running text, since the inter-word glue can be adjusted in paragraph mode.

The same sort of thing is expressed in LaTeX by:

  \newlength{\gnat}
  \settowidth{\gnat}{\textbf{small}}
This sets the value of the length command \gnat to the width of "small" in bold-face text.