A model airplane with mass $0\mathrm{.}750$ kg is tethered by a wire so that it flies in a circle $30\mathrm{.}0$ m in radius. The airplane engine provides a net thrust of $0\mathrm{.}800$ N perpendicular to the tethering wire. $1.$ Find the torque the net thrust produces about the center of the circle. $2.$ Find the angular acceleration of the airplane when it is in level flight. $3.$ Find the linear acceleration of the airplane tangent to its flight path.