In a manufacturing process, a large, cylindrical rolleris used to flatten material fed

Chapter 10, Problem 25

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In a manufacturing process, a large, cylindrical rolleris used to flatten material fed beneath it. The diameterof the roller is 1.00 m, and, while being driven intorotation around a fixed axis, its angular position isexpressed asu 5 2.50t2 2 0.600t 3where u is in radians and t is in seconds. (a) Find themaximum angular speed of the roller. (b) What is themaximum tangential speed of a point on the rim ofthe roller? (c) At what time t should the driving forcebe removed from the roller so that the roller does notreverse its direction of rotation? (d) Through howmany rotations has the roller turned between t 5 0 andthe time found in part (c)?

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