How to find the total acceleration (magnitude and direction) of a rotating disk?

AI Thread Summary
To find the total acceleration of a rotating disk, first calculate the angular acceleration, which is determined to be 0.546 rad/s² using the equation ωf² = ωi² + 2αΘ. For part (B), the total acceleration consists of both tangential and centripetal components. The tangential acceleration is linked to the angular acceleration, while the centripetal acceleration depends on the angular velocity and radius. Understanding the definitions and relationships of these accelerations is crucial to solving the problem effectively.
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Homework Statement


A disk of radius 16 cm rotating around a fixed axis at its center is accelerated from rest to an angular velocity of +13rev/min in +0.27 rev.

(A )Find the angular acceleration (in rad/s^2), which is assumed to be constant, during this time interval.
(B) what is the total acceleration (magnitude and direction) of the particle located altho the end of this time interval

Homework Equations

The Attempt at a Solution


(a) after converting and using ωf^2 = ωi^2+2αΘ, i got α=0.546 rad/s^2

I don't know how to start (B). Can someone help me?
 
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Try rereading your course notes and thinking about what "acceleration" means, then having a go.
i.e. What are the different kinds of acceleration that you know about?
See if you can describe where you have a problem with the question.
 
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