You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 61.2 kg, and its side-to-side width is 2.39 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 189 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.) 1.53 rad/s^2 3.65 rad/s^2 2.19 rad/s^2 4.38 rad/s^2

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College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section8.5: Relationship Between Torque And Angular Acceleration

Problem 8.2QQ: A constant net torque is applied to an object. Which one of the following will not be constant? (a)...

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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 61.2 kg, and its side-to-side width is 2.39 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 189 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.)

1.53 rad/s^2

3.65 rad/s^2

2.19 rad/s^2

4.38 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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