The drum has a radius of 25cm. (a) Find wmin, the minimum angular speed at which the drum needs to rotate, so that a t-shirt can remain stuck at some point on the curved edge of the drum as it rotates (hint: in particular, the t-shirt should remain stuck to that point on the drum even when it gets to the top of the drum). (b) Find the linear speed of the t-shirt if the drum rotates at the minimum angular speed that you found in (a). (c) Suppose that the drum starts from rest and reaches the angular velocity that you found in (a); 10 seconds after starting. Assuming that the angular acceleration is constant within these 10 seconds, find the number of rotations made by the drum in this time.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 64PQ: A potters wheel rotates with an angular acceleration = 4at3 3bt2, where t is the time in seconds, a...
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The drum has a radius of 25cm.
(a) Find wmin, the minimum angular speed at which the drum needs to rotate, so that a t-shirt can remain stuck at some point on the curved edge of the
drum as it rotates (hint: in particular, the t-shirt should remain stuck to that point on the drum even when it gets to the top of the drum).
(b) Find the linear speed of the t-shirt if the drum rotates at the minimum angular speed that you found in (a).
(c) Suppose that the drum starts from rest and reaches the angular velocity that you found in (a); 10 seconds after starting. Assuming that the angular
acceleration is constant within these 10 seconds, find the number of rotations made by the drum in this time.
Transcribed Image Text:The drum has a radius of 25cm. (a) Find wmin, the minimum angular speed at which the drum needs to rotate, so that a t-shirt can remain stuck at some point on the curved edge of the drum as it rotates (hint: in particular, the t-shirt should remain stuck to that point on the drum even when it gets to the top of the drum). (b) Find the linear speed of the t-shirt if the drum rotates at the minimum angular speed that you found in (a). (c) Suppose that the drum starts from rest and reaches the angular velocity that you found in (a); 10 seconds after starting. Assuming that the angular acceleration is constant within these 10 seconds, find the number of rotations made by the drum in this time.
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