Centripetal acceleration in a roller coaster loop

In summary, the conversation discusses an experiment with a plastic tube and a ball to calculate the centripetal acceleration of the ball while in motion through a circular vertical loop. The question is whether to calculate the average velocity or use a specific point to determine the instantaneous centripetal acceleration. The person providing the summary suggests using the average velocity if the experiment requires constant speed, and asks for more information about the data and any instructions given for analyzing it. They also mention that for objects with uniform circular motion, the centripetal acceleration is constant.
  • #1
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Homework Statement


I performed an experiment with a plastic tube and a ball. The tube was shaped into a roller coaster track with a circular vertical loop of diameter 0.12 m. I have to calculate the centripetal acceleration of the ball while in motion within the loop. I have only studied uniform motion related with centripetal acceleration, however in this case the velocity of the ball changes as it passes through the loop. To obtain a more accurate result should I,
a) get the average of some velocities and determine the average velocity of the ball when it passes through the loop.
or
b) use one of the points to determine the instantaneous centripetal acceleration.

Thank you.

Homework Equations



The Attempt at a Solution


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  • #2
If your experiment warranted that the speed remain constant, then do the average. From how it sounds, that is how your experiment went about.
 
  • #3
What data do you have?

What instructions or suggestions were you given to help you analyze the data?

For an object with uniform circular motion, what do you know about the object's centripetal acceleration?
 

What is centripetal acceleration in a roller coaster loop?

Centripetal acceleration is the acceleration towards the center of a circular path. In a roller coaster loop, it is the acceleration that keeps the riders moving in a circular path as they go through the loop.

How is centripetal acceleration related to the speed of a roller coaster?

Centripetal acceleration is directly proportional to the square of the speed of the roller coaster. This means that as the speed of the roller coaster increases, the centripetal acceleration also increases.

What causes the feeling of weightlessness in a roller coaster loop?

The feeling of weightlessness in a roller coaster loop is caused by the balance between the centripetal force pushing the riders into the seat and the gravitational force pulling them down. At the top of the loop, the centripetal force is greater, making the riders feel weightless.

How does the shape of a roller coaster loop affect centripetal acceleration?

The shape of a roller coaster loop affects centripetal acceleration by determining the radius of the circular path. A smaller radius means a sharper turn, resulting in a greater centripetal acceleration.

What safety considerations are taken into account when designing a roller coaster loop?

When designing a roller coaster loop, safety considerations include ensuring that the train can complete the loop without stalling or derailing, and that the forces experienced by the riders are within safe limits. The shape and size of the loop, as well as the speed of the train, are all carefully calculated to ensure a safe and enjoyable ride.

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