Angular Acceleration Problem - Compact Disc

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SUMMARY

The discussion focuses on calculating the angular acceleration of a compact disc (CD) that accelerates from rest to a constant rotational speed of 477 revolutions per minute (rev/min) while covering an angular displacement of 0.250 revolutions. The user converted 477 rev/min to approximately 49.95 radians per second and 0.250 rev to 1.57 radians. The formula used was ω² = ω₀² + 2αΘ, leading to an incorrect calculation of angular acceleration (α) as 15.90 rad/s² instead of the correct value of 866 rad/s².

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gcombina
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During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

I converted 477 rev/min into 49.95 rad
I converted 0.250 rev to radians which is 1.57 rad

Then I am using
ω^2 = ωø^2 + 2 α Θ
49.95/2(1.57 radians) = α
15.90 = αBUT i am not getting the answer
 
Last edited:
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the answer is 866 rad/s^2
 
gcombina said:
ω^2 = ωø^2 + 2 α Θ
49.95/2(1.57 radians) = α
ω^2 = ωø^2 + 2 α Θ
 

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