Rotational dynamics-rotating door w/ 4 panes

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In summary, a person pushes on the outer edge of one pane of a rotating door with a force of 80 N and the door's angular acceleration is .1543 rad/sec squared.
  • #1
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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  • #2
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...
 
  • #3
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?


[tex]\tau\ = I\alpha}[/tex]

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

1. What is rotational dynamics?

Rotational dynamics is a branch of physics that studies the motion and behavior of objects that rotate around a fixed axis. It involves the application of principles such as torque, angular velocity, and angular acceleration to understand the rotational motion of objects.

2. How does a rotating door with 4 panes work?

A rotating door with 4 panes works through the principle of conservation of angular momentum. When a person pushes on one of the panes, it creates a torque that causes the door to rotate. The other panes then rotate due to the conservation of angular momentum, maintaining the overall balance of the system.

3. Why do rotating doors with 4 panes often have a large central pivot?

The large central pivot in rotating doors with 4 panes helps distribute the weight of the door evenly and allows for smoother rotation. It also helps maintain the balance of the door as people enter and exit, preventing it from tipping over.

4. How does friction affect the rotation of a door with 4 panes?

Friction plays a crucial role in the rotation of a door with 4 panes. It creates a resistance force that helps slow down the rotation of the door, preventing it from spinning too quickly. Friction also helps maintain the stability of the door and prevents it from sliding or slipping.

5. What factors can affect the speed at which a rotating door with 4 panes rotates?

The speed at which a rotating door with 4 panes rotates can be affected by several factors, including the force applied to the door, the weight and size of the door, the friction between the door and the floor, and the distribution of weight among the panes. Additionally, air resistance can also play a role in slowing down the rotation of the door.

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