A model airplane with a mass of 0.751kg is tethered by a wire so that it flies i

Question

A model airplane with a mass of 0.751kg is tethered by a wire so that it flies in a circle 30.5 m in radius. The airplane engine provides anet thrust of 0.793 N perpendicular tothe tethering 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

      Given   radiusofpath   r   =   30.5   m                                             thrust ofplane   F   =   0.793   N    mass of theplane   m   =   0.751   kg    a.   Torque      =   r* F                            =   30.5 *0.793                            =   24.2   N-m    b.   Moment of inertia aboutaxis      I   =   m* r2                                                                =   0.751* 30.52                                                                =   698.62   kg-m2          Amgularacceleration         =   / I                                                    =   24.2/ 698.62                                                    =   0.0346  rad/s2          Amgularacceleration         =   / I                                                    =   24.2/ 698.62                                                    =   0.0346  rad/s2    c.   Linearacceleration   a   =   r*                                              =   30.5* 0.0346                                              =   1.056   m/s2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.