Circular motion time/radius ratio question

AI Thread Summary
The discussion revolves around calculating the ratio of centripetal acceleration for a car completing two circular paths of different radii and times. The first circle has a radius r and time T, while the second circle has a radius of 2r and takes half the time to complete. The user initially struggles with the ratio concept but eventually derives the centripetal accelerations for both circles. They conclude that the ratio of centripetal acceleration for the second circle to the first is 8:1, confirming their calculations. The conversation also notes a lack of engagement in the chat feature.
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Homework Statement


16. A car completes a horizontal circle of radius r in time T. The same car then completes a larger horizontal circle of radius 2r in half the time. What is the ratio of the centripetal acceleration ac for the car in the second circle to that in the first circle a c2 a c1?

The Attempt at a Solution


iv never understood the whole ratio thing
i got (4pi^2*4R)/(T^2/4)
the answer is suppose 2 be 8:1 so i assume the second car is the 8

Ithink i got it actually (4pi^2*2R)/(T^2/4):(4pi^2*R)/T^2
that 8:1 did i do it right?
 
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also why isn't there anyone on flash chat?
 

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