In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 9.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 0 - 2.90t? - 0.900t where 0 is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. 3.11 v rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? 14.016 v 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? 2.148 (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? 4.46
In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 9.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 0 - 2.90t? - 0.900t where 0 is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. 3.11 v rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? 14.016 v 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? 2.148 (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? 4.46
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....
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Need help on part d please.
![In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 9.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as
e = 2.90t? – 0.900t3
%3D
where 0 is in radians andt is in seconds.
(a) Find the maximum angular speed of the roller.
3.11
rad/s
(b) What is the maximum tangential speed of a point on the rim of the roller?
14.016
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?
2.148
S
(d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)?
4.46
Your response differs from the correct answer by more than 100%. rotations](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70562eea-c2fb-4751-9e42-c7c37c89fd29%2Fe8483ce8-df85-4e8a-be3e-214ac3ecd406%2Fu2rplkf_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 9.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as
e = 2.90t? – 0.900t3
%3D
where 0 is in radians andt is in seconds.
(a) Find the maximum angular speed of the roller.
3.11
rad/s
(b) What is the maximum tangential speed of a point on the rim of the roller?
14.016
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?
2.148
S
(d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)?
4.46
Your response differs from the correct answer by more than 100%. rotations
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