A hollow steel shaft 10m long is required to transmit 16 MW when running at a speed of 320 r.p.m. If the maximum shear stress in the shaft is 90 MPa and the ratio of inner diameter to the outer diameter is 3/5, find the dimensions of the shaft. Also find the angle of twist of one end of the shaft relative to other. Modulus of rigidity of the material of shaft is 90 GPa.