(Solved):     When the gear rotates 28 revolutions, it achieves an angular velocity of \( \omeg ...

 

 

When the gear rotates 28 revolutions, it achieves an angular velocity of \( \omega=28 \mathrm{rad} / \mathrm{s} \), starting from rest. Determine its constant angular acceleration the time required. Determine the time required. Express your answer to three significant figures and include the appropriate units.