Angular ,Radial,linear accelerations

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The discussion focuses on calculating angular speed, angular acceleration, and total linear acceleration for a car navigating a corner with a radius of 68m and an initial speed of 19m/s, while also considering an acceleration rate of 3.2m/s². The user successfully determined the angular acceleration to be 0.047 rad/s² and the total linear acceleration as 6.2 m/s², but expressed confusion about calculating radial acceleration after 1.4 seconds. Clarification was sought on how to compute radial acceleration given the initial conditions and the formulas used. The conversation highlights the need for a better understanding of the relationships between angular and linear accelerations in circular motion.
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Homework Statement


A car is going around a corner with a radius of 68m. At one instant, its speed is 19m/s and its speed is increasing at a rate of 3.2m/s^2.
What are the angular speed and the angular acceleration of the car at this instant?
What is the total linear acceleration of the car?
If the angular acceleration remains constant, what will the radial acceleration be after 1.4s?

Homework Equations


I got alpha=.047rad/s^2 for the first one with aTan/r=alpha
6.2 m/s^2 for the second with aRad^2+3.2^2 under square root
I am lost on the 3rd
 
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How do I find the radial acceleration after 1.4 seconds if the angular acceleration remains constant?
 
I guess I have a hard question?
Im thinking to solve this is by using the constant formulas. I really am confused on this tho.
 
How did you calculate the radial acceleration when the speed is 19m/s? You did not show this.
Do you know how to calculate this one?
 
Part A and B did not ask for radial acceleration.
A) what are the angular speed and angular acceleration of the car at this instant?
B) What is the total linear acceleration of the car?

C) If the angular acceleration remains constant, what will the radial acceleration be after 1.4s?
Unless I am not understanding your question
 
So how did you calculate linear acceleration?
What do you mean by
"aRad^2+3.2^2 under square root"?
 
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