A 1.5-m-long tubular steel shaft (G = 77.2 GPa) of 38-mm
Chapter 3, Problem 3.82(choose chapter or problem)
A 1.5-m-long tubular steel shaft (G = 77.2 GPa) of 38-mm outer-diameter \(d_{1}\) and 30-mm inner diameter \(d_{2}\) is to transmit 100 kW between a turbine and a generator. Knowing that the allowable shearing stress is 60 MPa and that the angle of twist must not exceed \(3^{\circ}\), determine the minimum frequency at which the shaft can rotate.
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