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Solved: Old clocks were constructed using a fusee B to
Chapter 4, Problem 4-22(choose chapter or problem)
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) \(T_s = k \theta\), where \(k = 0.015\ N \cdot m/rad\) is the torsional stiffness and \(\theta\) 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 \(\theta = 4\ rad\), determine the required radius of the fusee when \(\theta = 3\ rad\).
Questions & Answers
QUESTION:
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) \(T_s = k \theta\), where \(k = 0.015\ N \cdot m/rad\) is the torsional stiffness and \(\theta\) 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 \(\theta = 4\ rad\), determine the required radius of the fusee when \(\theta = 3\ rad\).
ANSWER:
Step 1 of 4
Start by identifying the equations you're given. 
Notice that because the force applied to the mainspring is equal to the force applied to the fusee, you can substitute it in the equation for 
Main Spring
Fusee
