Create loop arrow in TikZ

As I said in comment, with precise number

\documentclass{article}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
    \node at (0,0) (Operations) {Operations};
    \draw [->] (Operations.south)arc(-160:160:1);
\end{tikzpicture}

\end{document}

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Another approach

\draw[->,shorten <=5pt,shorten >=5pt](Operations.center)arc(-180:180:1);

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Third approach

\documentclass{article}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
    \node at (0,3) (Input) {Input};
    \node at (0,1.5) (Operations) {Operations};
    \node at (0,0) (Output) {Output};
    \draw [->] (Input) -- (Operations);
    \draw [->] (Operations) -- (Output);
    \draw[->](Operations.south)arc(-180:0:1)coordinate(X)
             (Operations.north)+(2,0)--(X)
             (Operations.north)+(2,0)arc(0:180:1);
\end{tikzpicture}

\end{document}

Here a very grob solution by adding a third node \node at (1,0) (here) {}; and modifiyng the arrow's size by looseness.

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
    \node at (0,0) (Operations) {Operations};
    \node at (1,0) (here) {};
    \draw [->] (Operations) to[out=-80, in=-90,looseness=2] (here)    to[out=90,in=80,looseness=2] (Operations);
\end{tikzpicture}

\end{document}