Answered: A model airplane with a mass of 0.751…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 6OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...

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Question

A model airplane with a mass of 0.751 kg is tethered by a wire so that it flies in a circle 29.2 m in radius. The airplane engine provides a net thrust of 0.808 N perpendicular to the tethering wire.

(a) Find the torque the net thrust produces about the center of the circle.
N · m

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

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

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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