Cdtrjyty

I am trying to draw the following diagram in latex:

I find the following command :

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [domain=0:25.1327,variable=t,smooth,samples=75]

              plot ({t r}: {0.002*t*t});

    end{tikzpicture}



end{document}

But it's like a circle.
Can anyone help me?

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}