A model airplane with mass $0\mathrm{.}745$ kg is tethered to the ground by a wire so that it flies in a horizontal circle $29\mathrm{.}7$ m in radius. The airplane engine provides a net thrust of $0\mathrm{.}802$ N perpendicular to the tethering wire.

$($a$)$ Find the magnitude of the torque the net thrust produces about the center of the circle.

N $$ m

$($b$)$ Find the magnitude of the angular acceleration of the airplane.

rad$/$s$2$

$($c$)$ Find the magnitude of the translational acceleration of the airplane tangent to its flight path.

m$/$s$2$