Find the radius of a particle's circular path

AI Thread Summary
The discussion revolves around finding the radius of a particle's circular path given two acceleration vectors at different times. The particle moves at a constant speed, and the centripetal acceleration formula, a = v²/r, is relevant. Participants highlight the importance of analyzing the two acceleration vectors provided, noting their directional changes. Recognizing the relationship between the vectors could lead to a better understanding of the velocity and radius. The conversation emphasizes the need for a strategic approach to solve the problem effectively.
David Williams
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Homework Statement


A particle moves along a circular path over a horizontal xy plane at a constant speed. At time t1= 3.00s, its acceleration vector is given by (3i-5j) m/s^2. At time t2=7.00 s, its acceleration is given by (-3i+5j) m/s^2.
Find the radius of the particle's circular path.

Homework Equations


centripetal acceleration = v^2/r

The Attempt at a Solution


Stumbling around for about an hour with no clue what to do... left me with nothing to show for.
 
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Hello David, :welcome:

David Williams said:
no clue what to do
Doesn't count as an attempt at solution; according to the PF rules we're not allowed to assist in such a case.

But for a first post I'll stick out my neck :rolleyes:: You have two acceleration vectors; notice anything particular about them ? Could that help you towards another expression involving ##v## and ##r## ?
 

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