Question

An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns like a screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 36 s to complete the circle and the wingspan of the plane is 14.2 m, what is the acceleration of the wing tip

Answer 1

The acceleration of the wing tip is 0.216 m/s²

Step-by-step explanation:

Given;

time to complete on circle, t = 36 s

the wingspan of the plane = 14.2 m, this is equal to diameter of the circle, thus radius of the circle, r = ¹/₂ x 14.2 = 7.1 m

distance of a complete circle = circumference of a circle = 2πr

circumference of a circle = 2πr = 2π x 7.1 = 44.6164 m

velocity, v = distance / time

velocity of the wing tip, v = 44.6164 / 36

= 1.239 m/s

Centripetal acceleration of the wing tip = v²/r

= (1.239²)/7.1

= 0.216 m/s²

Therefore, the acceleration of the wing tip is 0.216 m/s²