Braving the Rotor at the Amusement Park (Circular Motion Due to Normal Force) The Rotor is an amusement park ride where people stand against the inside of a spinning cylinder, as shown below. Once the cylinder is spinning at a certain speed, the floor drops out of the bottom of the cylinder but the people do not fall out of the bottom. A conservative low estimate of the coefficient of static friction between people's clothes and the cylinder wall is 0.45. The radius of the cylinder is 2.4 m. What is the minimum number of rpm that the cylinder can have so that the people do not fall out the bottom? (answer: 29 rpm)

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**Braving the Rotor at the Amusement Park (Circular Motion Due to Normal Force)**

The *Rotor* is an amusement park ride where people stand against the inside of a spinning cylinder, as shown below. Once the cylinder is spinning at a certain speed, the floor drops out of the bottom of the cylinder but the people do not fall out of the bottom. A conservative low estimate of the coefficient of static friction between people's clothes and the cylinder wall is 0.45. The radius of the cylinder is 2.4 m. What is the minimum number of rpm that the cylinder can have so that the people do not fall out the bottom? *(answer: 29 rpm)*

**Diagram Explanation:**

The image depicts a large, vertical, cylindrical structure with a person standing inside, pressed against the inner wall. The cylinder's floor is shown as dropped out, but the individual remains suspended due to the spinning motion. This illustrates the physical principles of static friction and normal force in circular motion, preventing the person from falling.
Transcribed Image Text:**Braving the Rotor at the Amusement Park (Circular Motion Due to Normal Force)** The *Rotor* is an amusement park ride where people stand against the inside of a spinning cylinder, as shown below. Once the cylinder is spinning at a certain speed, the floor drops out of the bottom of the cylinder but the people do not fall out of the bottom. A conservative low estimate of the coefficient of static friction between people's clothes and the cylinder wall is 0.45. The radius of the cylinder is 2.4 m. What is the minimum number of rpm that the cylinder can have so that the people do not fall out the bottom? *(answer: 29 rpm)* **Diagram Explanation:** The image depicts a large, vertical, cylindrical structure with a person standing inside, pressed against the inner wall. The cylinder's floor is shown as dropped out, but the individual remains suspended due to the spinning motion. This illustrates the physical principles of static friction and normal force in circular motion, preventing the person from falling.
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