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Nuzzy

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My textbook tells me that the total linear acceleration of a point in a rotating body is the vector sum of tangential acceleration and centripetal acceleration.

However, later on in the chapter, there is an example problem using a rotating rod where we are supposed to find the linear acceleration of the tip of the rod. I thought that linear acceleration = tangential acceleration + centripetal acceleration, but for this example it says that linear acceleration = tangential acceleration. I don't see how they could suddenly ignore the centripetal acceleration??

Any explanation would be appreciated! Thank you.