In a “Rotor-ride” at a carnival, people are rotated in a

Chapter 18, Problem 18P

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QUESTION:

In a “Rotor-ride” at a carnival, people are rotated in a cylindrically walled “room.” (See Fig. 5–35.) The room radius is 4.6 m, and the rotation frequency is 0.50 revolutions per second when the floor drops out. What is the minimum coefficient of static friction so that the people will not slip down? People on this ride say they were “pressed against the wall.” Is there really an outward force pressing them against the wall? If so, what is its source? If not, what is the proper description of their situation (besides “scary”)? [Hint: First draw the free-body diagram for a person.]

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QUESTION:

In a “Rotor-ride” at a carnival, people are rotated in a cylindrically walled “room.” (See Fig. 5–35.) The room radius is 4.6 m, and the rotation frequency is 0.50 revolutions per second when the floor drops out. What is the minimum coefficient of static friction so that the people will not slip down? People on this ride say they were “pressed against the wall.” Is there really an outward force pressing them against the wall? If so, what is its source? If not, what is the proper description of their situation (besides “scary”)? [Hint: First draw the free-body diagram for a person.]

ANSWER:

 

Step 1 of 4

Consider the given data as follows.

The radius of the room is r=4.6 m .

The rotation frequency is f=0.50\ rev/s.

 

The minimum coefficient of static friction is defined as follows.

The angular frequency is,

   \(\omega =2\pi f \) 

  \(=2\times 3.14\times 0.50\ \text{rev/s} \) 

  \(=3.14\ \text{rev/s}\)  

 

Draw the free-body diagram as follows.

 

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