The compressible Euler equations are the classical model in fluid dynamics. In this study, we investigate the life span of the projected 2-dimensional rotational C.sup.2C2 non-vacuum solutions of the Euler equations. By examining the corresponding projected 2-dimensional solutions, ([rho] (t,x.sub.1,x.sub.2),u.sub.1(t,x.sub.1,x.sub.2),u.sub.2(t,x.sub.1,x.sub.2),0), ([rho](t,x1,x2),u1(t,x1,x2),u2(t,x1,x2),0),in R.sup.3R3, we prove that there exist the corresponding blowup results for the rotational C.sup.2C2 solutions with a sufficiently large initial functional H(0)= .sub. R.sup.3 x u.sub.0dV. H(0)=a'R3x[right arrow]*u[right arrow]0dV.