A couple of angular accelaration problems

AI Thread Summary
The discussion focuses on solving angular acceleration problems in a physics context. The first problem involves calculating the angular acceleration of a merry-go-round that accelerates to 2.5 rpm over five revolutions. The second problem requires finding the angular distance and arc length for a turntable reaching 33 1/3 rpm in 2.45 seconds. The final problem addresses a bicycle wheel slowing from 60 rpm to a stop in 15 seconds, asking for the total number of revolutions during this time. The thread emphasizes the need for clear explanations and logical deductions in solving these angular motion problems.
backseatgunner
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I'm having many a woes with angular accelaration in my DE Physics class. Could you guys explain to me how to do these 3 problems. (If I can get one of them by logical deduction from the other problems don't go out of your way.) Thanks.

A merry-go-round accelerating uniformly from rest achieves its operating speed of 2.5rpm in five revolutions. What is the magnitude of its angular accelaration?

A 33 1/3-rpm record on a turntable uniformly reaches its operating speed in 2.45s once the record player is turned on. (a) What is the angular distance traveled during this time? (b) What is the corresponding arc length in feet on the circumfrence of a 12in. diamater record?

A bicycle being repaired is turned upside down, and one wheel is rotated at a rate of 60 rpm. If the wheel slows uniformly to a stop in 15s, how many revolutions does it take during this time?
 
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You haven't showed what you've tried.

\theta = \theta _0 + \omega t + \frac{1}{2}\alpha t^2
 
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