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A model airplane with a mass of 0.747 kg is tethered by a wire so that itflies i

ID: 1679548 • Letter: A

Question

A model airplane with a mass of 0.747 kg is tethered by a wire so that itflies in a circle 29.6 m inradius. The airplane engine provides a net thrustof 0.803 N perpendicular tothe tethering wire. (a) Find the torque the net thrust produces about the center of thecircle.
N·m

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

(c) Find the linear acceleration of the airplane tangent to itsflight path.
m/s2 (a) Find the torque the net thrust produces about the center of thecircle.
N·m

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

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

Explanation / Answer

   Mass m = 0.747kg    radius r = 29.5 m     net thrust F = 0.803 N
   a) the torque the net thrust producesabout the center of the circle is given by                     = F r
                       = __ N.m b)   the angular acceleration of theairplane when it is in level flight is given by               = / ( mr2)
               = ___ m/s2 c) the linear acceleration of the airplane tangentto its flight path is given by
               a = r                   =___m/s2
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