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Elastic deformations

Problem 1.293

A ring of radius r=25 cmr=25 \mathrm{~cm} made of lead wire is rotated about a stationary vertical axis passing through its centre and perpendicular to the plane of the ring. What is the number of rps at which the ring ruptures?

Reveal Answer
1.293. n=σm/ρ/2πR=23n=\sqrt{\sigma_{m} / \rho / 2 \pi R=23} rps, where σm\sigma_{m} is the tensile strength, and ρ\rho is the density of lead.
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