Angular Acceleration of a Moving Wheel

AI Thread Summary
To determine the angular acceleration of the cyclist's wheels, the problem requires calculating the total angular displacement and the time taken. The cyclist's wheels complete 8.5 revolutions in 4.6 seconds, which can be converted into radians for calculation. Participants are encouraged to demonstrate their initial attempts or thought processes to receive further assistance. Engaging in the problem-solving process is essential for effective support. Understanding the relationship between angular displacement, time, and acceleration is key to finding the solution.
underoathP
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I am having a bit of trouble with the following problem. What should I do to start?

A cyclist starts from rest and pedals so that the wheels make 8.5 revolutions in the first 4.6 s. What is the angular acceleration of the wheels (assumed constant)?
 
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Welcome to the forums underoathP,

For future reference we have https://www.physicsforums.com/forumdisplay.php?f=152" in place for such questions. With respect to your question, you are required to show some effort in solving the problem yourself, before we can help you. Perhaps if you could tell me what you have attempted or any ideas about how you could solve the problem...
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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