\documentclass[preview]{standalone}
\usepackage{varwidth}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath, amssymb, graphics, setspace}

\begin{document}
\begin{varwidth}{50in}
  \begin{equation}
    {\Delta t}_{\rm max} = \frac{2\pi}{\kappa
    \left|\vec{\omega}_{\rm max} \right|} 
    \nonumber
  \end{equation}
\end{varwidth}
\end{document}
