Rotating Disk Homework: Calculating Angular Acceleration and Time

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SUMMARY

The discussion focuses on calculating angular acceleration and time for a rotating disk with constant angular acceleration. The disk starts from rest, achieving an angular speed of 7.0 rev/s and later 18 rev/s after completing 83 revolutions. The correct formula for angular acceleration is derived from the equation (W2^2 - W1^2) / (2 * change in theta), where W2 is the final angular speed and W1 is the initial angular speed. The participant initially calculated the angular acceleration as 10.408 rad/s², which was incorrect due to unit conversion errors, emphasizing the need to express angular acceleration in rev/s².

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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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