$11\mathrm{.}1$ A three$-$phase, $60-$Hz$,500-$MVA, $11\mathrm{.}8-$kV$,4-$pole steam turbine$-$generating unit has an H constant of $6$ p$.$u$.-$s$.$ Determine: $($a$)$ syn and msyn; $($b$)$ the kinetic energy in joules stored in the rotating masses at synchronous speed; $($c$)$ the mechanical angular acceleration am and electrical angular acceleration a if the unit is operating at syn$-$ chronous speed with an accelerating power of $500$ MW$.$ Calculate J in kg m$2$ for the generating unit $.$ Given that for a moving mass Wkinetic$=1/2$ Mv$2,$ how fast would a $80,000$ kg diesel locomotive need to go to equal the energy stored in the generator mass at synchronous speed?$$