A hollow power transmission shaft of outer diameter 60 mm and inner diameter 30 mm is 3 m in length. The shaft is required to transmit a power of 200 kW at a speed of1280 rpm( Reference Table (1.1)) . The shear modulus of the shaft material is 90 GPa.

What is the maximum value of the shear stress induced and the angle of twist along the shaft length measured in degrees.