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

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SUMMARY

The discussion centers on calculating the angular acceleration of a wheel rotating about a fixed axis. The initial angular velocity is 2 rad/s, and after 2 seconds, the wheel completes 5 revolutions. The correct angular acceleration is derived from the equation for angular displacement under uniform angular acceleration, which is θ = ω₀t + 0.5αt². The user initially miscalculated the acceleration as 0.5 rad/s² but later 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.
 

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