In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller i
s 6.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as
1 answer:
Question:
In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 6.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as θ = 2.70t² − 0.900t3³
where θ is in radians and t is in seconds.
(a) Find the maximum angular speed of the roller.
(b) What is the maximum tangential speed of a point on the rim of the roller?
(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)?
Answer:
a. 2.7rad/s
b. 8.1 m/s
c. 2 s
d. 3.6 rad
Explanation:
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