Angular Acceleration Problem: Solving for 0.5 rad/s^2 in Fixed Axis Rotation

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The discussion revolves around a problem involving a wheel with a fixed axis rotation, initially at 2 rad/s and undergoing angular acceleration. The user initially calculated the angular acceleration to be 0.5 rad/s² but later found this to be incorrect. Key questions include the relationship between angular displacement and time under uniform angular acceleration, as well as the need for the user to share their calculations to identify errors. Ultimately, the user resolved the issue independently.
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I got this problem and I got the answer 0.5 rad/s^2, but it is not the right one. pls help me. thanks

At t=0 wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is the angular acceleration of this wheel.
 
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What's an equation relating angular displacement with time under uniform angular acceleration? And if you want to know why your answer is wrong you'll have to post what you actually did.
 
Thanks

I figured it out already.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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