A couple of angular accelaration problems

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SUMMARY

The discussion focuses on solving angular acceleration problems in a physics context. The first problem involves a merry-go-round achieving a speed of 2.5 rpm after five revolutions, requiring the calculation of its angular acceleration. The second problem pertains to a 33 1/3-rpm record that reaches its speed in 2.45 seconds, necessitating the determination of angular distance and arc length on a 12-inch diameter. The final problem examines a bicycle wheel that decelerates from 60 rpm to a stop in 15 seconds, requiring the calculation of total revolutions during this time.

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  • Understanding of angular motion concepts
  • Familiarity with kinematic equations for rotational motion
  • Knowledge of units for angular velocity and acceleration
  • Basic skills in algebra for solving equations
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  • Study the kinematic equations for rotational motion
  • Learn how to convert between different units of angular velocity
  • Explore the relationship between linear and angular displacement
  • Practice solving problems involving uniform angular acceleration
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This discussion is beneficial for physics students, educators, and anyone seeking to enhance their understanding of angular motion and acceleration in practical scenarios.

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.

[tex]\theta = \theta _0 + \omega t + \frac{1}{2}\alpha t^2[/tex]
 

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