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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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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