Some old clocks were powered by coil springs that gradually lost torque as they unwound. A “fusee” was used to compensate for the gradual loss of torque, allowing more accurate timekeeping. The fusee is a cone-shaped pulley with a helical groove around it, wound with a cord or chain which is attached to the mainspring. Suppose the spring develops a torque of Ts = kθ, where the torsional stiffness k = 0.02 Nm/rad and θ is the angle of twist of the spring in radians. When θ = 4 rad, the cord acts on the part of the fusee with a radius of 10 mm. If the fusee provides constant torque for all θ, what should the radius be when θ = 3 rad?

Some old clocks were powered by coil springs that gradually lost torque as they unwound. A “fusee” was used to compensate for the gradual loss of torque, allowing more accurate timekeeping. The fusee is a cone-shaped pulley with a helical groove around it, wound with a cord or chain which is attached to the mainspring. Suppose the spring develops a torque of Ts = kθ, where the torsional stiffness k = 0.02 Nm/rad and θ is the angle of twist of the spring in radians. When θ = 4 rad, the cord acts on the part of the fusee with a radius of 10 mm. If the fusee provides constant torque for all θ, what should the radius be when θ = 3 rad?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 21CQ: What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...

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