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 = 10.8 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= 19 times while accelerating uniformly.

Randomized Variables

t₁ = 10.8 seconds
n₂ = 19 times

a)Calculate the angular speed described in Case 1, given as f₁ = 78 revolutions per minute, into units of radians/second.

ω₁ =

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

n₁ =

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

α₁ =

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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