A cylinder rolls on a horizontal surface without slipping with a constant speed of \(v\). (a) At any point in time, the tangential speed of the top of the cylinder is (1) \(v\), (2) \(r \omega\), (3) \(v+r \omega\), or (4) zero. (b) The cylinder has a radius of \(12 \mathrm{~cm}\) and a center-of-mass speed of \(0.10 \mathrm{~m} / \mathrm{s}\) as it rolls without slipping. If it continues to travel at this speed for \(2.0 \mathrm{~s}\), through what angle does the cylinder rotate during this time?