A model airplane with a mass of 0.749 kgis tethered by a wire so that it flies i

Question

A model airplane with a mass of 0.749 kgis tethered by a wire so that it flies in a circle 29.2 m in radius. The airplane engine provides a netthrust of 0.804 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 = 0.749 kg radius r = 29.2 m thrust T = 0.804 N (a).The torque the net thrust produces about the center of thecircle = T r                                                                                                    =23.4768 N m (b). we know = I from this the angular acceleration of the airplane when it isin level flight = / I where I = moment of inertia = mr ^ 2             = 638.62 kg m ^ 2 So, = 0.03676 rad / s ^ 2 (c). the linear acceleration of the airplane tangent to itsflight path = r                                                                                                 = 1.073 m / s ^ 2

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