Answered: You push on a rectangular door at the…

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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You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 66.1 kg, and its side-to-side width is 2.26 m. The knob is located 0.13 m from the right-hand side of the door. If you push with a force of 101 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.)

a. 1.22 rad/s^2

b. 1.91 rad/s^2

c. 1.53 rad/s^2

d. 2.29 rad/s^2

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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