dv • Show that ā =T+ N the normal and tangential components of dt R acceleration.
dv • Show that ā =T+ N the normal and tangential components of dt R acceleration.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.41P
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Question
![dv
• Show that ā
N the normal and tangential components of
dt
R
acceleration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ee743dc-a75b-43cd-b144-7bdcd04a2100%2Fdb7dddf6-4327-4ac7-8d12-55119d19df33%2Fax7n5ka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dv
• Show that ā
N the normal and tangential components of
dt
R
acceleration.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The diagram of the unit vectors of tangential and normal direction is given by,
The expression for unit vector of radial or normal direction is given by,
The expression for unit vector of tangential direction is given by,
The diagram of the particle possess circular motion is given by,
Step 2
The expression for the vector of the radius of the about which particle is rotating is given by,
Substitute all the known values in above equation,
The expression for the normal velocity of the particle is given by,
Substitute all the known values in above equation,
Here, ω is the angular velocity of the particle.
Substitute the value of unit vector of tangential direction in above equation,
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