Ok I just answered this question and managed to get 177...the problem is an odd one so it's not in the back of my physics book in terms of showing work or giving the answer. The only thing is I plugged it into the calc and can't seem to formulate it to show work...my professor won't accept this? Can anyone set it up verify my answer and please show the work 
A 150 kg merry-go-round in the shape of a uniform solid horizontal disk of radius 1.5 meters is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force must be exerted on the rope to bring the merry-go-round from rest to an angular speed of .5 revolutions per second in 2 seconds.
A 150 kg merry-go-round in the shape of a uniform solid horizontal disk of radius 1.5 meters is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force must be exerted on the rope to bring the merry-go-round from rest to an angular speed of .5 revolutions per second in 2 seconds.