All Problems

Elastic deformations

Problem 1.293

A ring of radius \(r=25 \mathrm{~cm}\) 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. \(n=\sqrt{\sigma_{m} / \rho / 2 \pi R=23}\) rps, where \(\sigma_{m}\) is the tensile strength, and \(\rho\) is the density of lead.