(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hawk flies in a horizontal arc of radius 13.5 m with a speed of 3.9 m/s.

What is its centripetal acceleration? (I correctly found this to be 1.1267 m/s².)

Next question is: If it continues to fly along the same horizontal arc but increases its speed at a rate of 0.54 m/s², what is the magnitude of acceleration under these new conditions?

2. Relevant equations

Centripetal acceleration = v² / r; possibly another one or two.

3. The attempt at a solution

Finding the first half of this was easy enough, as 3.9² / 13.5 = 1.1267. But I have tried three different ways of incorporating this acceleration and have gotten it wrong each time.

The only other thing I can think of trying is using the circumference of this path as displacement, finding its velocity (10.335 after one "lap"), and using that to find a new acceleration, but I'd rather not blow any more answer submissions on this one question. By the above, I'm coming up with 7.913 m/s². Am I on the right track, or am I making this way too difficult?

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# Homework Help: Centripetal acceleration, incorporating a change in acceleration around the circle

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