QUESTION 10You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 62.6 kg, and its side-to-side width is 1.74 m. The knob is located 0.20 m from the right-hand side of the door. If you push with a force of 153 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.) A5.97 rad/s^2 B1.19 rad/s^2 C3.73 rad/s^2 D1.49 rad/s^2 Hinge

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Answered: You push on a rectangular door at the…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section29.4: Physical Interpretation Of The Quantum Numbers

Problem 29.3QQ

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QUESTION 10

You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 62.6 kg, and its side-to-side width is 1.74 m. The knob is located 0.20 m from the right-hand side of the door. If you push with a force of 153 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
5.97 rad/s^2

B
1.19 rad/s^2

C
3.73 rad/s^2

D
1.49 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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