Problem 1: At its lowest setting a centrifuge rotates with an angular speed of w, = 250 rad/s. When it is switched to the next higher setting it takes t = 14.5 s to uniformly accelerate to its final angular speed w2 = 650 rad/s.

Problem 1: At its lowest setting a centrifuge rotates with an angular speed of w, = 250 rad/s. When it is switched to the next higher setting it takes t = 14.5 s to uniformly accelerate to its final angular speed w2 = 650 rad/s.

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 6P: Why is the following situation impossible? Starting from rest, a disk rotates around a fixed axis...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Part (b) Calculate the total angular displacement (in radians) of the centrifuge, A6, as it accelerates from the initial to the final speed.

Problem 1: At its lowest setting a centrifuge rotates with an angular speed of w, = 250 rad/s. When it is switched to the next higher setting it takes t =
14.5 s to uniformly accelerate to its final angular speed w2 = 650 rad/s.

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