Solving Turntable Coin Problem: Angular & Linear Accelerations

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SUMMARY

The discussion focuses on solving the Turntable Coin Problem involving angular and linear accelerations. The coin, positioned 10.5 cm from the spindle, experiences a centripetal acceleration that is 1.39 times its tangential acceleration after 0.133 seconds of constant angular acceleration. Participants are guided to derive the turntable's angular acceleration, the angle of rotation in that time frame, and the linear acceleration of the coin. The problem emphasizes the importance of applying rotational motion concepts to find the solutions.

PREREQUISITES
  • Understanding of angular acceleration and its relationship to linear acceleration.
  • Familiarity with centripetal acceleration and tangential acceleration concepts.
  • Knowledge of rotational motion equations and their application.
  • Basic algebra skills for solving equations related to motion.
NEXT STEPS
  • Study the equations of motion for rotational dynamics.
  • Learn how to derive angular acceleration from centripetal and tangential accelerations.
  • Explore the relationship between linear and angular quantities in circular motion.
  • Practice solving similar problems involving angular and linear accelerations.
USEFUL FOR

Physics students, educators, and anyone interested in understanding rotational dynamics and solving problems related to angular and linear accelerations.

Nick11111
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A very small coin is at distance 10.5 cm from the spindle of a turntable. The turntable starts spinning from rest with constant angular acceleration. In 0.133 s the coin's centripetal acceleration is 1.39 times its tangential acceleration.
1)Find the turntable's angular acceleration.
2)Find the angle by which the turntable turns in 0.133 s.
3)Find the magnitude of the coin's linear acceleration in 0.133 s.

Having trouble please help
 
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Hello Nick, welcome to PF :smile: !

So far for the problem statement. Interesting.

Now for the rest of the template. The guidelines require an effort on your part to come to a solution. That also helps us to provide more useful assistance: you don't need the answer, you need the exercise !

Homework Equations

[/B] -- check here

The Attempt at a Solution

[/B]-- think what you would do with linear motion and try to translate to rotation
 

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