easy points A model airplane with mass 0.760 kg is tethered to the ground by a w

Question

easy points

A model airplane with mass 0.760 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.1 m in radius. The airplane engine provides a net thrust of 0.801 N perpendicular to the tethering wire. Find the magnitude of the torque the net thrust produces about the center of the circle. N middot m Find the magnitude of the angular acceleration of the airplane. rad/s2 Find the magnitude of the translational acceleration of the airplane tangent to its flight path. m/s2

Explanation / Answer

a)

T = r * Fthrust * sin theta

= 30.1 * 0.801

= 24.11 Nm

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b)

I = M R^2 = 0.76 * 30.1^2 = 688.57 kgm2

T = I alpha

alpha = T / I

= 24.11 / 688.57

= 0.035 rad/s2

-----------------------------------

c)

a = r alpha

= 30.1 * 0.035

= 1.05 m/s2

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