Average Angular Acceleration of a CD

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SUMMARY

The average angular acceleration of a CD, which starts at 460 revolutions per minute (rpm) and ends at 202 rpm over a duration of 59.8 minutes, is calculated to be -0.00753 rad/s². The initial angular velocity converts to 48.17 rad/s, while the final angular velocity is 21.15 rad/s. The time duration for the calculation is 3588 seconds. The discrepancy in answer acceptance is attributed to the WileyPlus system's requirement for scientific notation, which is not always clearly specified.

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  • Understanding of angular velocity conversion from rpm to rad/s
  • Knowledge of the formula for angular acceleration
  • Familiarity with time conversion from minutes to seconds
  • Experience with online grading systems like WileyPlus
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  • Explore the conversion techniques between different units of angular velocity
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Homework Statement



A CD has a playing time of 59.8 minutes. When the music starts, the CD is rotating at an angular speed of 460 revolutions per minute (rpm). At the end of the music, the CD is rotating at 202 rpm. Find the magnitude of the average angular acceleration of the CD. Express your answer in rad/s^2.

Homework Equations



angular acceleration = change in angular velocity / change in time

The Attempt at a Solution



initial angular velocity in rad/s:
460rpm / 60 * 2 * Pi = 48.17rad/s

final angular velocity in rad/s:
202rpm / 60 * 2 * Pi = 21.15rad/s

time in s:
59.8min * 60 = 3588s

angular acceleration:
(21.15 - 48.17) / 3588 = -.00753rad/s^2

I'm really not sure why this is incorrect. I feel like I'm making a really obvious/face-palm type mistake.
 
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I agree with your answer.

It sounds like you are submitting this for online grading. For some reason these are known to have bugs in terms of accepting answers that are slightly off or in a different format from what the accepted answer is. I am always puzzled as to why they can't get it to act right.
 
You're exactly right. I'm using the WileyPlus system and it expected scientific notation without explicitly stating so.
 

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