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?
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 12.8CYU: Check your Understanding Repeat the calculations from the previous example for I0=0.040A .
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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?
Transcribed Image Text:1. Wound up
D.
F
日
前
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每可日
2. Unwound
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