Old clocks were constructed using a fusee B to drive the gears and watch hands. The purpose of the fusee is to increase the leverage developed by the mainspring A as it uncoils and thereby loses some of its tension. The mainspring can develop a torque (moment) T_s = kθ, where k = 0.015 N• m/rad is the torsional stiffness and θ is the angle of twist of the spring in radians. If the torque T_f developed by the fusee is to remain constant as the mainspring winds down, and x = 10 mm when θ = 4 rad, determine the required radius of the fusee when θ = 3 rad.

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x- A 12 mm T, T,