A 2-m long hollow steel shaft (G = 75 GPa) has an outside diameter of 75 mm and an inside diameter of 65 mm. If the maximum shearing stress in the shaft must be limited to 50 MPa and the angle of twist must be limited to 1°, determine the maximum power(kW)that can be transmitted by this shaft when rotating at 600 rpm.

3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) B