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Elastic deformations

Problem 1.292

A horizontally oriented copper rod of length l=1.0 ml=1.0 \mathrm{~m} is rotated about a vertical axis passing through its middle. What is the number of rps at which this rod ruptures?

Reveal Answer
1.292. n=2σm/ρ/πl=0.8⋅102n=\sqrt{2 \sigma_{m} / \rho} / \pi l=0.8 \cdot 10^{2} rps, where σm\sigma_{m} is the tensile strength, and ρ\rho is the density of copper.
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