A wheel has a constant angular acceleration of $3\mathrm{.}38\backslash ,\backslash$text$\{$rad$/$s$\}^2.$ During a certain $7\mathrm{.}00\backslash ,\backslash$text$\{$s$\}$ interval, it turns through an angle of $92\mathrm{.}2\backslash ,\backslash$text$\{$rad$\}.$ Assuming that the wheel started from rest, how long had it been in motion before the start of the $7\mathrm{.}00\backslash ,\backslash$text$\{$s$\}$ interval?