  We consider a rotating quark-antiquark $(q\bar{q})$ pair in $\mathcal{N}=4$
thermal plasma. By using AdS/CFT correspondence, the properties of this system
have been investigated. We study variation of rotating string radius at the
boundary as a function of the tip of U-shape string and angular velocity of
rotating meson. We also extend the results to the higher derivative corrections
i.e. ${\cal{R}}^2$ and ${\cal{R}}^4$ which correspond to finite coupling
corrections on the rotating quark-antiquark system in the hot plasma. In
${\cal{R}}^4$ case and for fixed angular velocity as $\lambda^{-1}$ decreases
the string endpoints get more and more separated. To study ${\cal{R}}^2$
corrections, rotating quark-antiquark system in Gauss-Bonnet background has
been considered. We summarize the effects of these corrections in the
conclusion section.
