An vinyl record of radius 15 cm rotates on a turntable at 33 rpm. When the motor stops friction slows down the turntable and record with a constant angular acceleration of magnitude 30. rad/s². (a) What is the value of the initial speed in units of rad/s? (b) How long does it take for the record to come to a complete stop? (c) How long does it take for the record to complete one full turn after the motor stops?

An vinyl record of radius 15 cm rotates on a turntable at 33 rpm. When the motor stops friction slows down the turntable and record with a constant angular acceleration of magnitude 30. rad/s². (a) What is the value of the initial speed in units of rad/s? (b) How long does it take for the record to come to a complete stop? (c) How long does it take for the record to complete one full turn after the motor stops?

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.

Question

4. An vinyl record of radius 15 cm rotates on a turntable at 33 rpm. When the motor stops friction slows
down the turntable and record with a constant angular acceleration of magnitude 30. rad/s².
(a) What is the value of the initial speed in units of rad/s?
(b) How long does it take for the record to come to a complete stop?
(c) How long does it take for the record to complete one full turn after the motor stops?
(d) The turntable starts spinning again as a fly lands at the outer edge of the record. Turntable and record
reach a constant rotational speed of 33 rpm. What is the minimum coefficient of static friction Hmin
between the fly and the record that allows the fly to remain rotating with the record?

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