Savchenko Problem 5.4.8

Physics · mechanics · fluid-mechanics · optics

Problem

There are two parallel disks in a vessel with a gas whose pressure can be changed. One disk hangs on an elastic thread, the other rotates at a constant angular velocity. Twist angle of the first disk at pressure P1 is equal to φ1\varphi_1. As the gas pressure increases, the angle of twisting of the thread first increases, and then, having reached the value φ2\varphi_2, it ceases to depend on the gas pressure. Explain this effect. How does the thread twist angle depend on the gas pressure at φ\varphi ≪\ll φ2\varphi_2?

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