A bicycle wheel is 64.6 cm in diameter and weighs 1.87 kg. Assume the wheel is a hoop, with all of the mass focused on the radius on the outside. The bicycle is put on a stationary stand, and a tangent force of 125 N is given to the tire's rim. (a) What force must be supplied by a chain traveling over a sprocket with a diameter of 8.96 cm in order for the wheel to accelerate at 4.49 rad/s 2? (b) What force is necessary if the chain is shifted to a sprocket with a diameter of 5.57 cm?

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