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91) A lathe, initially at rest, accelerates at 0.60 rad/s^2 for 10 s, then runs at...

91) A lathe, initially at rest, accelerates at 0.60 rad/s^2 for 10 s, then runs at a constant angular velocity for 20 s, and finally

decelerates uniformly for 10 s to come to a complete stop. What is its average angular velocity?

The answer is 4.5 rad/s. Please show all the work with fomular.

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