An aircraft is travelling at a constant speed of 180 m s' in a horizontal circle of radius 20 km. A plumbline, attached to the roof of the cabin, settles at an angle ø to the vertical while the aircraft is turning. (a) Find the centripetal acceleration of the aircraft. (b) Name the forces which act on the bob of the plumbline, and draw a labelled diagram to show the directions of these forces, and of their resultant. (c) Find the angle ø. (d) Show by means of a simple sketch of the cross-section of the aircraft how the plumbline is orientated with respect to the aircraft.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![An aircraft is travelling at a constant speed of 180 m s' in a horizontal circle of radius 20 km. A
plumbline, attached to the roof of the cabin, settles at an angle ø to the vertical while the aircraft
is turning.
(a) Find the centripetal acceleration of the aircraft.
(b) Name the forces which act on the bob of the plumbline, and draw a labelled diagram to
show the directions of these forces, and of their resultant.
(c) Find the angle ø.
(d) Show by means of a simple sketch of the cross-section of the aircraft how the plumbline is
orientated with respect to the aircraft.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23252ed2-c38c-4de1-9c44-0bebea941c24%2F97f2fc17-0495-4063-bfb4-f2aca8d7284a%2Fu9dv2ap_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)