Circular Motion and Oscillationshave been sick and am lost

AI Thread Summary
A particle on a circular track starts from rest and experiences constant angular acceleration, leading to equal magnitudes of tangential and centripetal accelerations at t=(1/α)^(1/2), regardless of the track's radius. The discussion emphasizes the need to show this relationship mathematically. Additionally, participants are encouraged to share their attempts and difficulties for better guidance. The angle of the total acceleration vector relative to the radial direction at this time is also a key point of inquiry. Understanding these concepts is crucial for mastering circular motion and oscillations.
yvette262
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Homework Statement


A particle begins at rest on a circular track and is subjected to a constant angular acceleration of magnitude α beginning when t=0s.(a) Show that the magnitudes of the tangential and centripetal accelerations of the particle are equal when

t=(1/α )^(1/2)

Independent of the radius of the circular track. (b) What is the angle that the total acceleration vector makes with the radial direction at this time?
 
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hi yvette262! welcome to pf! :wink:

Show us what you've tried and where you're stuck, and then we'll know how to help! :smile:

("constant angular acceleration of magnitude α" means θ'' = α)
 

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