(a) Find the radius of a toroidal space colony spinning once every two minutes, if the effective gravity for colonists living within the torus is \(10 \mathrm{~m} / \mathrm{s}^{2}\).

(b) Arriving tourists dock at the central hub, and are then transported to the torus by an elevator running through a "spoke" of the wheel. The elevator runs at constant speed, except for brief periods of acceleration at the beginning and end, and requires one minute for the journey. Plot quantitatively the centrifugal and Coriolis accelerations of a rider as a function of time while the elevator is running at constant speed, as a fraction of \(10 \mathrm{~m} / \mathrm{s}^{2}\). Would the Coriolis acceleration be noticeable?