Rotating Disk Homework: Calculating Angular Acceleration and Time

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The discussion revolves around a homework problem involving a rotating disk with constant angular acceleration. The main issues highlighted include incorrect calculations for angular acceleration and the number of revolutions. The user initially calculated an angular acceleration of 10.408 rad/s² but struggled to convert this to rev/s², which led to errors in subsequent parts of the problem. Additionally, confusion arose regarding the change in theta for part (d), where the user incorrectly derived the number of revolutions. The importance of unit conversion and proper application of equations is emphasized to resolve these issues.
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Homework Statement


A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 7.0 rev/s; 83 revolutions later, its angular speed is 18 rev/s. Calculate (a) the angular acceleration (rev/s^2), (b) the time required to complete the 83 revolutions, (c) the time required to reach the 7.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 7.0 rev/s angular speed.


Homework Equations


(a) ang accl=(W2^2-W1^2)/2(change in theta)
(d) change in theta= W0t + 1/2 ang accl t^2

The Attempt at a Solution


I got the answers to both (b) and (c) but my (a) was not correct and it's weird because I used my answer from (a) to do both (b) and (c), my answer to (a) was 10.408 rad/s^2 and calculated by plugging in 36pi as W2, 14pi for W1 and change in theta as 166pi... What am I doing wrong here??

Also, for part (d) I was told to use to the time I received from part (c) to find the change in theta and I got 150 rev, and that's obviously wrong... what am I doing wrong with this one as well??
 
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The problem asks for the angular acceleration in rev/s^2, you found the angular acceleration in radians/s^2, just convert the units.
 
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