How Do You Calculate the Rotational Inertia of a Rotating Door?

AI Thread Summary
The discussion focuses on calculating the rotational inertia and angular acceleration of a rotating door made of four glass panes, each weighing 76 kg. A force of 55 N is applied perpendicularly at the edge of one pane, leading to a torque calculation of 66 Nm. The user initially suggests using the formula I = 1/3ML^2 for rotational inertia but seeks confirmation on its application for multiple panes. There is a request for clarification on the relationship between torque, rotational inertia, and angular acceleration. The user expresses urgency due to an upcoming test on rotation concepts.
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A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 76 kg. A person pushes on the outer edge of one pane with a force of F = 55 N that is directed perpendicular to the pane.
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a.) Find the rotational inertia of the door.
b.) Find the magnitude of the door's angular acceleration.
c.) Find the time it would take to rotate the door a half-circle (assuming it started from rest.)
I have tried calculating the torque for the pane to be (1.2m)(55N) = 66 Nm. I think the rotational inertia should be I = 1/3ML^2 multiplied by 4 for each pane since it is spinning away from the center of mass (edge). Can someone tell me if this is correct? I don't know how to continue this problem...Thanks.
 

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I figured out the solutions so never mind.
 
Nm said:
A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 76 kg. A person pushes on the outer edge of one pane with a force of F = 55 N that is directed perpendicular to the pane.
09_34.gif

a.) Find the rotational inertia of the door.
b.) Find the magnitude of the door's angular acceleration.
c.) Find the time it would take to rotate the door a half-circle (assuming it started from rest.)
I have tried calculating the torque for the pane to be (1.2m)(55N) = 66 Nm. I think the rotational inertia should be I = 1/3ML^2 multiplied by 4 for each pane since it is spinning away from the center of mass (edge). Can someone tell me if this is correct? I don't know how to continue this problem...Thanks.



I thought torque was rotational inertia multiplied by acceleration(in radians). You found your torque by multiplying the distance by the force? Can you exlplain your steps bcz I have a test on Friday on Rotation, and this could be very useful
 
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