You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.9 kg, and its side-to-side width is 1.58 m. The knob is located 0.10 m from the right-hand side of the door. If you push with a force of 163 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.) 2.03 rad/s^2 3.63 rad/s^2 2.90 rad/s^2 4.72 rad/s^2

Answered: You push on a rectangular door at the…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 5STP

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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 79.9 kg, and its side-to-side width is 1.58 m. The knob is located 0.10 m from the right-hand side of the door. If you push with a force of 163 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.)

2.03 rad/s^2

3.63 rad/s^2

2.90 rad/s^2

4.72 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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