Circular Motion of an amusement park ride

The ring will exert a normal force on the rider, which will be equal to the rider's weight at the bottom of the ride. However, at the top of the ride, the normal force will be greater than the rider's weight due to the centripetal force needed to keep the rider moving in a circular path. In summary, the ring will push on the rider with a greater force at the top of the ride compared to the bottom, due to the centripetal force required for the circular motion.
  • #1
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In an amusement park ride called The Roundup, passengers stand inside a 15.9 m diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane

(a) Suppose the ring rotates every 4.5 s. If a rider's mass is 69 kg, with how much force does the ring push on her at the top of the ride?

How much force the does the ring push on her at the bottom of the ride?




I tried to use Min. Force of Gravity = mv^2/r


I ended up with 8.82 m/s for velocity and I solved for the 3rd question (not included) but I'm not sure what to do with these two problems.
 
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  • #2
You need to draw a free-body diagram first. From this you will understand the forces acting on the rider.
 

1. What is circular motion in an amusement park ride?

Circular motion in an amusement park ride is a type of motion where an object moves in a circular path, with a constant speed and changing direction. In an amusement park ride, this motion is created by the rotation of the ride itself, causing the riders to experience a centrifugal force that pulls them away from the center of the circle.

2. How does circular motion in an amusement park ride affect the riders?

Circular motion in an amusement park ride can affect riders in different ways. For some people, it can cause a feeling of weightlessness, while for others it may induce dizziness or nausea. The effects can also vary depending on the speed and radius of the circular motion.

3. What factors determine the circular motion in an amusement park ride?

The main factors that determine the circular motion in an amusement park ride include the speed and radius of the ride, the mass and weight of the riders, and the force applied by the ride's mechanisms. These factors work together to create a smooth and enjoyable circular motion experience.

4. How can circular motion in an amusement park ride be controlled?

Circular motion in an amusement park ride can be controlled through the use of different mechanisms such as motors, brakes, and levers. These mechanisms can be adjusted to change the speed and direction of the ride, allowing for a variety of circular motion experiences.

5. Is circular motion in an amusement park ride safe?

When properly designed and maintained, circular motion in an amusement park ride is generally considered safe. However, it is important for riders to follow all safety guidelines and regulations set by the amusement park, and to inform ride operators of any health concerns that could be affected by the circular motion.

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