Physics please check

A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 88 kg. A person pushes on the outer edge of one pane with a force of F = 53 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration.

In the drawing the radius is 1.2m and F is counterclockwise.

Net external torque=moment of Inertia X Angular acceleration

Moment of Inertia = sum of mass X r^2
= (88kg X 4)(1.2m^2)
=506.88

I transpose the above formula making angular acceleration the subject of the equation.

Angular acceleration= sum of external torque / Moment of inertia

angular acceleration= 63.6 / 506.88
=0.12547

This answer is incorrect please tell me where I went wrong.


The moment of inertia depends upon where the glass panes are placed, which your question does not explain. it is unfortunate that this web site cannot handle figures. In any case, the moment of inertia is not just the sum of masses of the panes multipied by some R^2. You have to use the parallel axis theorem. See
http://hyperphysics.phy-astr.gsu.edu/hbase/parax.html

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Brett made a scale drawing of a rectangular room in his house. The actual length of the room is 12 4/5 ft. The scale used to make the drawing was 1/4 in.=1 ft. What is the length, in inches, of the room on the drawing?

  2. Intro to drawing

    Can anyone check this, thank youuuu!!!! 1.Mark is drawing a skylight in the shape of a circle with narrow panes coming out from the center. What type of balance, if any, is he creating? A.No balance B.Formal balance C.Radial

  3. physics

    A rotating door is made from four rectangular sections, as indicated in the drawing. The mass of each section is 86 kg. A person pushes on the outer edge of one section with a force of F = 61 N that is directed perpendicular to

  4. Physics(Please check)

    A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as the drawing shows. The centripetal acceleration measured at corner A is n times as great as that

  1. physics

    The drawing illustrates an overhead view of a door and its axis of rotation. The axis is perpendicular to the screen. There are four forces acting on the door, and they have the same magnitude. Rank the torque τ that each force

  2. math

    Which of these glasses contains more liquid? Glass A contains about twice as much as glass B Glass A contains about 20% more than glass B Glass A and B contain about the same amount Glass B contains about 20% more than glass A

  3. science

    mara is preparing an experiment using three cups - one made of paper, one of plastic, and one of glass- as shown below. she plans pouring 50 ml of hot water from a pitcher into each of three cups and recording the temperatures in

  4. Physics

    The drawing (which I will describe) shows a top view of a door that is free to rotate about an axis of rotation that is perpendicular to the screen. Find the net torque (magnitude and direction) produced by the forces F1 and F2

  1. physics

    The drawing shows the top view of two doors. The doors are uniform and identical. Door A rotates about an axis through its left edge, and door B rotates about an axis through its center. The same force is applied perpendicular to

  2. Math

    Consider the right rectangular prism shown. The figure shows a right rectangular prism whose dimensions are 8.5 centimeters, 2.25 centimeters, and 5.75 centimeters ​List the numbers of faces, edges, and vertices of the

  3. Physics

    To create artificial gravity, the space station shown in the drawing is rotating at a rate of 1.60 rpm. The radii of the cylindrically shaped chambers have the ratio rA/rB = 3.00. Each chamber A simulates an acceleration due to

  4. Mathematics

    A semi-circular transom above a door is to contain a stained glass window. If the stained glass window costs $1.40 per square inch, how much will the window cost?

You can view more similar questions or ask a new question.