Problem 1.307

Find the maximum power which can be transmitted by means of a steel shaft rotating about its axis with an angular velocity \(\omega=120 \mathrm{rad} / \mathrm{s},\) if its length \(l=200 \mathrm{~cm},\) radius \(r=1.50 \mathrm{~cm},\) and the permissible torsion angle \(\varphi=2.5^{\circ}\).