Centripetal acceleration in a roller coaster loop

AI Thread Summary
To calculate the centripetal acceleration of a ball in a roller coaster loop with a diameter of 0.12 m, one must consider the changing velocity as the ball moves through the loop. The discussion suggests two approaches: calculating the average velocity of the ball during its motion or determining the instantaneous centripetal acceleration at a specific point. If the experiment indicated that the speed remained constant, averaging the velocities could yield a more accurate result. However, for varying speeds, using instantaneous measurements may provide better insights. Understanding the principles of uniform circular motion is essential for analyzing the data accurately.
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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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If your experiment warranted that the speed remain constant, then do the average. From how it sounds, that is how your experiment went about.
 
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?
 
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