(a) Find the maximum angular speed of the roller. ] rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? ]m/s
(a) Find the maximum angular speed of the roller. ] rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? ]m/s
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![In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angular
position is expressed as
0 = 2.60t? – 0.300t3
where 0 is in radians and t is in seconds.
(a) Find the maximum angular speed of the roller.
rad/s
(b) What is the maximum tangential speed of a point on the rim of the roller?
m/s
(c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation?
(d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)?
rotations](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8caa8888-794e-4f6b-9ad1-1f5517b6770f%2F77710fbb-1ad4-43f5-892b-77e89d462a87%2Fg6wnozu_processed.png&w=3840&q=75)
Transcribed Image Text:In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angular
position is expressed as
0 = 2.60t? – 0.300t3
where 0 is in radians and t is in seconds.
(a) Find the maximum angular speed of the roller.
rad/s
(b) What is the maximum tangential speed of a point on the rim of the roller?
m/s
(c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation?
(d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)?
rotations
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