   Chapter 8, Problem 43P

Chapter
Section
Textbook Problem

A model airplane with mass 0.750 kg is tethered by a wire so that it flies in a circle 30.0 m in radius. The airplane engine provides a net thrust of 0.800 N perpendicular to the tethering wire, (a) Find the torque the net thrust produces about the center of the circle, (b) Find the angular acceleration of the airplane when it is in level flight, (c) Find the linear acceleration of the airplane tangent to its flight path.

(a)

To determine
The torque the net thrust produces about the center of the circle.

Explanation

Given info: The net thrust by the engine is 0.800N , the radius of the circle is 30.0m , and the angle of the thrust with the wire is 90° .

Explanation:

The formula for the torque the net thrust produces about the center of the circle is,

τ=rFsinθ

• r is radius of the circle.
• F is thrust by the engine.
• θ is the angle of thrust with the wire.

Substitute 30.0m for r , 0.800N for F , and 90° θ to find τ

(b)

To determine
The angular acceleration of the airplane when it is in level flight.

(c)

To determine
The linear acceleration of the airplane tangent to its flight path.

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