Circular motion and radial acceleration

AI Thread Summary
A particle with constant angular acceleration experiences equal tangential and radial accelerations at a specific time. The discussion emphasizes using dimensional analysis to determine the correct time from the provided options. Participants suggest deriving tangential acceleration from angular acceleration and time, indicating a need for calculus knowledge. There is a reminder that solutions should not be directly provided without demonstrating effort on the problem. The conversation highlights the importance of understanding the relationships between angular and linear motion in circular dynamics.
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Homework Statement


A particle moves with a constant angular acceleration Alpha in a circular path. The time at which the magnitude of tangential and radial accelerations are equal is
a) 1/Alpha b) Sq.root Alpha c) 1/Sq.root Alpha d) Alpha

Homework Equations



The Attempt at a Solution


I worked more than two days on this problem but could not get answer.
 
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This does not even require any work. Just use dimensional analysis. First figure out what the units of angular acceleration are. Since you know what the units of time are, figure out which choice yields units of seconds.
 
So you have ω = α*t. Have you a formula for finding the tangential velocity from that? If you know calculus, you can then get the tangential acceleration easily with a derivative.

Any formula for radial acceleration?

We aren't supposed to give away solutions here - you have to give evidence of trying the problem!
 
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