Rotational dynamics-rotating door w/ 4 panes

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Homework Help Overview

The problem involves a rotating door composed of four rectangular glass panes, each with a mass of 90 kg. A force of 80 N is applied perpendicularly at the outer edge of one pane, and the goal is to determine the angular acceleration of the door.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of torque and moment of inertia, with one participant questioning the numerical and dimensional correctness of the torque used in the calculations. There is also a mention of confusion regarding the application of force versus torque in the relevant equation.

Discussion Status

The discussion is ongoing, with participants providing feedback on the calculations and suggesting a review of the concepts involved. Some guidance has been offered regarding the correct application of torque in the context of the problem.

Contextual Notes

There is a reference to a visual aid that accompanies the problem, which may contain important information for understanding the setup. Additionally, one participant has shared a link to external resources for further assistance.

Kate Green
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Homework Statement



A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 90 kg. A person pushes on the outer edge of one pane with a force of F = 80 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration.________rad/sec squared. (there is a pic that shows radius 1.2m)


Homework Equations


net external torque=moment of inertia x angular acceleration


The Attempt at a Solution


Tried (90kg*4 panes*1.2m squared) to get moment of inertia=518.40. Then divided 80N b
by 518.40 to solve for angular accel=.1543 This isn't right. Will anyone help?
 
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So the force of 80N is applied at 1.2m from the axis of rotation, correct? For your calculation of Torque/m.o.i., you have used T=80N. Numerically, are you sure about that? Dimensionally, are you sure about that? Look again...
 
Kate Green said:

Homework Statement



A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 90 kg. A person pushes on the outer edge of one pane with a force of F = 80 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration.________rad/sec squared. (there is a pic that shows radius 1.2m)


Homework Equations


net external torque=moment of inertia x angular acceleration


The Attempt at a Solution


Tried (90kg*4 panes*1.2m squared) to get moment of inertia=518.40. Then divided 80N b
by 518.40 to solve for angular accel=.1543 This isn't right. Will anyone help?


\tau\ = I\alpha}

You have placed force instead of torque in the above equation.
 

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