38.9k views
0 votes
.

To perform a maneuver called an aileron roll, an airplane pilot uses the ailerons to set the wings in circular motion. The airplane turns like a screw as it maintains a straight flight path.

In one performance of this maneuver, the airplane takes 35s to complete one circle. Each wing length is 4.6m. What is the acceleration of the wing tip?

1 Answer

5 votes
The correct answer for this question is this one:

"The wing tip is moving around a circle at a constant speed. And it says that the acceleration is centripetal. It moves a distance that is equal to the circumference of a circle, as the wing makes a complete circle. The radius of the circle is equal to one half of the wingspan.

Circumference = 2 * π * 6.6 = π * 13.2
To determine the velocity, divide this distance by 22 seconds.

v = π * 13.2 ÷ 22
This is approximately 1.885 m/s.

Centripetal acceleration = (π * 13.2 ÷ 22)^2 ÷ 6.6
User Coreyspitzer
by
8.1k points