A regional power plant is updating one of its existing 25MW natural gas turbans with a new more efficient model as a result the new turbine will transmit 12% more power a speed of totation equal 3600rmp your job to size that will best utilize the material to transmit the power from the turbine to the genrator to aviod change to the existing genrator the od of the shaft must remain 250mm the shaft material has max shear of 145Mpa?