In a classic carnival ride, patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride make them the "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room is R = 7.6 m and the room spins with a frequency of 19.7 revolutions per minute. 1) What is the speed of a person "stuck" to the wall? m/s Submit 2) What is the normal force of the wall on a rider of m = 47 kg? N Submit 3) What is the minimum coefficient of friction needed between the wall and the person? Submit +

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**Classic Carnival Ride Physics Problem**

In a classic carnival ride, patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride make them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room is \( R = 7.6 \, m \) and the room spins with a frequency of 19.7 revolutions per minute.

### Problem Set

**1) What is the speed of a person "stuck" to the wall?**

[\__________] m/s [Submit]

**2) What is the normal force of the wall on a rider of \( m = 47 \, kg \)?**

[\__________] N [Submit]

**3) What is the minimum coefficient of friction needed between the wall and the person?**

[\__________] [Submit]

**4) If a new person with mass 94 kg rides the ride, what minimum coefficient of friction between the wall and the person would be needed?**

[\__________] [Submit]

**5) Which of the following changes would decrease the coefficient of friction needed for this ride?**
- Increased the rider’s mass
- Increasing the radius of the ride
- Increasing the speed of the ride
- Increasing the acceleration due to gravity (taking the ride to another planet)

[\__________] [Submit]

**6) To be safe, the engineers making the ride want to be sure the normal force does not exceed 2.4 times each person's weight - and therefore adjust the frequency of revolutions accordingly. What is the minimum coefficient of friction now needed?**

[\__________] [Submit]

---

### Diagram Description
The diagram illustrates a person standing against the yellow, cylindrical wall of the ride, which is spinning. An arrow above the cylinder indicates the direction of the spin. The diagram emphasizes the concept of centripetal force, friction, and normal force in this dynamic scenario.
Transcribed Image Text:**Classic Carnival Ride Physics Problem** In a classic carnival ride, patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride make them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room is \( R = 7.6 \, m \) and the room spins with a frequency of 19.7 revolutions per minute. ### Problem Set **1) What is the speed of a person "stuck" to the wall?** [\__________] m/s [Submit] **2) What is the normal force of the wall on a rider of \( m = 47 \, kg \)?** [\__________] N [Submit] **3) What is the minimum coefficient of friction needed between the wall and the person?** [\__________] [Submit] **4) If a new person with mass 94 kg rides the ride, what minimum coefficient of friction between the wall and the person would be needed?** [\__________] [Submit] **5) Which of the following changes would decrease the coefficient of friction needed for this ride?** - Increased the rider’s mass - Increasing the radius of the ride - Increasing the speed of the ride - Increasing the acceleration due to gravity (taking the ride to another planet) [\__________] [Submit] **6) To be safe, the engineers making the ride want to be sure the normal force does not exceed 2.4 times each person's weight - and therefore adjust the frequency of revolutions accordingly. What is the minimum coefficient of friction now needed?** [\__________] [Submit] --- ### Diagram Description The diagram illustrates a person standing against the yellow, cylindrical wall of the ride, which is spinning. An arrow above the cylinder indicates the direction of the spin. The diagram emphasizes the concept of centripetal force, friction, and normal force in this dynamic scenario.
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