In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²? W W

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:**

In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²?

**Diagram Explanation:**

The diagram illustrates a four-section rotating door. Each section is hinged to a central axis. The door's width is labeled as "w," which represents the distance from the center axis to the point where the force (F) is applied. The force, represented by an arrow labeled "F," acts on the outer edge of one section of the door, perpendicular to the plane of the door. The rotational effect is shown by a circular arrow around the axis, indicating the direction of angular acceleration. The goal is to find the width "w" in meters.
Transcribed Image Text:**Problem Description:** In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²? **Diagram Explanation:** The diagram illustrates a four-section rotating door. Each section is hinged to a central axis. The door's width is labeled as "w," which represents the distance from the center axis to the point where the force (F) is applied. The force, represented by an arrow labeled "F," acts on the outer edge of one section of the door, perpendicular to the plane of the door. The rotational effect is shown by a circular arrow around the axis, indicating the direction of angular acceleration. The goal is to find the width "w" in meters.
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