A model airplane with a mass of 0.752 kgis tethered by a wire so that it flies i

Question

A model airplane with a mass of 0.752 kgis tethered by a wire so that it flies in a circle 30.7 m in radius. The airplane engine provides a netthrust of 0.791 N perpendicular to thetethering wire. (a) Find the torque the net thrust producesabout the center of the circle.
1 N·m

(b) Find the angular acceleration of the airplane when it is inlevel flight.
2 rad/s2

(c) Find the linear acceleration of the airplane tangent to itsflight path.
3 m/s2 (a) Find the torque the net thrust producesabout the center of the circle.
1 N·m

(b) Find the angular acceleration of the airplane when it is inlevel flight.
2 rad/s2

(c) Find the linear acceleration of the airplane tangent to itsflight path.
3 m/s2

Explanation / Answer

mass m = 0.752 kg radius r = 30.7 m thrust T =0.791 N (a). the torque the net thrust produces about the center ofthe circle = T r                                                                                                        = 24.28 N m (b). we know = I angular accleration = / I                                  = / m r ^ 2                                  = 0.0342 rad / s ^ 2 (c). linear acceleration of the airplane tangent to its flightpath = r                                                                                            = 1.051 m / s ^ 2

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