Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 10.7 seconds to get up to its full speed of f1 = 78 revolutions per minute.Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 16 times while accelerating uniformly.a)How many revolutions does the turntable make while accelerating in Case 1? b)Calculate the magnitude of the angular acceleration of the turntable in Case 1, in radians/second2. c)How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?

Answered: Case 1: A DJ starts up her phonograph…

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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Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t₁ = 10.7 seconds to get up to its full speed of f₁ = 78 revolutions per minute.

Case 2: The DJ then changes the speed of the turntable from f₁ = 78 to f₂ = 120 revolutions per minute. She notices that the turntable rotates exactly n₂= 16 times while accelerating uniformly.

a)How many revolutions does the turntable make while accelerating in Case 1?

b)Calculate the magnitude of the angular acceleration of the turntable in Case 1, in radians/second².

c)How long (in seconds) does it take for the turntable to go from f₁ = 78 to f₂ = 120 RPM?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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