A disc rotates about a fixed axis. Its angular velocity \( \omega \...

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A disc rotates about a fixed axis. Its angular velocity \( \omega \) varies with time according to the equation \( \omega= \) at \( +b \). Initially at \( t=0 \) its angular velocity is \( 1.0 \mathrm{rad} / \mathrm{s} \) and angular position is \( 2 \mathrm{rad} \); at the instant \( t=2 \mathrm{~s} \), angular velocity is \( 5.0 \mathrm{rad} / \mathrm{s} \). Determine angular position \( \theta \) and angular acceleration \( \alpha \) when \( \mathrm{t}=4 \mathrm{~s} \)
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