An ultracentrifuge accelerates from rest to 100,000 rpm in 1.90 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration, in m/s2, of a point 13.30 cm from the axis of rotation? (c) What is the radial acceleration, in m/s?, of this point at full rpm?

An ultracentrifuge accelerates from rest to 100,000 rpm in 1.90 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration, in m/s2, of a point 13.30 cm from the axis of rotation? (c) What is the radial acceleration, in m/s?, of this point at full rpm?

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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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.

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An ultracentrifuge accelerates from rest to 100,000 rpm in 1.90 min.
(a)
What is its angular acceleration in rad/s2?
(b)
What is the tangential acceleration, in m/s?, of a point 13.30 cm from the axis of rotation?
(c)
What is the radial acceleration, in m/s2, of this point at full rpm?
(p)
Express this radial acceleration as a multiple of g.
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