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.
Nm
Messages
13
Reaction score
0
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.
 

Attachments

  • 09_34.gif
    09_34.gif
    11.1 KB · Views: 504
  • 09_34.gif
    09_34.gif
    11.1 KB · Views: 460
  • 09_34.gif
    09_34.gif
    11.1 KB · Views: 457
Physics news on Phys.org
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
 
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Back
Top