(Solved):   A vertical wheel with a diameter of \( 50 \mathrm{~cm} \) starts from rest and rotates wit ...

 

A vertical wheel with a diameter of \( 50 \mathrm{~cm} \) starts from rest and rotates with a constant angular acceleration of \( 6 \mathrm{rad} / \mathrm{s}^{2} \) around a fixed axis through its center counterclockwise. a. Where is the point that is initially at the bottom of the wheel at \( t=5 \mathrm{~s} \) ? Express your answer as an angle in radians between 0 and \( 2 \pi \), relative to the positive \( x \) axis. \( \theta_{f}= \) radians b. What is the point's tangential acceleration at this instant? \( a= \) \( \mathrm{m} / \mathrm{s}^{2} \)