(Solved): (a) A cylindrical \( 5.0 \mathrm{~kg} \) reel with a radius of \( 6 \mathrm{~cm} \) and a friction ...

(a) A cylindrical \( 5.0 \mathrm{~kg} \) reel with a radius of \( 6 \mathrm{~cm} \) and a frictionless axle as it pulls by a force. Initially, the reel at rest and speeds up uniformly until it reaches \( 100 \mathrm{rpm} \) in \( 4.0 \mathrm{~s} \). (Given: Moment of inertia of the reel, \( I=\frac{1}{2} m r^{2} \) ) (i) Determine the angular acceleration of the reel. (ii) Determine the tension of the string.