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# Why do airplanes bank when they turn? How would you ISBN: 9780130606204 3

## Solution for problem 9Q Chapter 5

Physics: Principles with Applications | 6th Edition

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Problem 9Q

Problem

Why do airplanes bank when they turn? How would you compute the banking angle given the airspeed and radius of the turn? [Hint Assume an aerodynamic "lift" force acts perpendicular to the wings. See also Example 5-7.] Step-by-Step Solution:

Step by step solution

Step 1</p>

The banking helps the aircraft to turn. By banking an airplane the lift divided into two components as shown in the following free-body diagram. The horizontal component provides the centripetal force while turning and vertical component the resultant total lift. Hence to bank the airplane, the ailerons are lifted up on the wing in the desired direction to turn

Step 2 </p>

The following diagram shows motion of a vehicle on a road banked by the angle θ, and different forces acting on the vehicle are labeled Step 3</p>

From the diagram it may be seen that the normal component acting on the body can be divided into two components regarding to the x and y axis to: horizontal component and the vertical component . Now, because the body is turning it has a circular path, so the centripetal force is acting on it as well. That makes us conclude that the horizontal component is balanced by the centripetal force , so we can write:  Step 4 of 6

Step 5 of 6

##### ISBN: 9780130606204

Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This full solution covers the following key subjects: turn, Example, airplanes, airspeed, also. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 9Q from 5 chapter was answered, more than 1363 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9Q from chapter: 5 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The answer to “Why do airplanes bank when they turn? How would you compute the banking angle given the airspeed and radius of the turn? [Hint Assume an aerodynamic "lift" force acts perpendicular to the wings. See also Example 5-7.]” is broken down into a number of easy to follow steps, and 37 words.

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