The torque-speed curve of a 3-phase ac motor of nema design type d can be approximated with the equation: t(n) = a*n2 + b*n + c with a=-4*10-5, b=0.0059 and c=100 while t is in n*m and n in rpm. this motor drives via a gear reducer with the reduction ratio i=60: 1, the drum of a hoist with the diameter d=.3m. neglect any losses in the gear reducer, or due to the cable not being perfectly flexible. find the steady-state ascending speed in meters per second of a m=1600 kg payload hoisted along an incline of angle α=30˚. assume a friction coefficient between the crate and the incline µ=0.11.