I calculated a, b, and c, I just need help with d. 1. The problem statement, all variables and given/known data[/b] The operation of a "reverse" three-speed automotive transmission is illustrated the in figure. Each of the gears rotate about a fixed axis. Note that gears A and B, C and D, E and F are in mesh. The radii of each of these gears are shown in the figure. The shaft G starts from rest and reaches its maximum angular velocity of ωG = 60 rad/s. The mass moment of inertia of the load shaft is given as 5.0 kgm^2 . The shaft G is driven by a 2 hp motor. Assume that the efficiency of the gear box is 80 %. a) If gear A has 45 teeth and if B, C and D, E have the same diametral pitch calculate the number of teeth in gears B, C, D, E, F. b) Determine the angular velocity of the drive shaft H. c) Calculate the torque on the output shaft. d) How many turns does the load shaft make to reach its maximum angular velocity. 2. Relevant equations P=ω*τ τ=IgAc 3. The attempt at a solution a) Used the ratios to solve, all end up having to be .5, so 45, 15, 15, 25, 35, 30 b) Multiplied ω*45/15, and repeated for every gear until I reduced it to 127ω c)(127/.8) for efficiency, converted 2hp into 1491.5 W. 1491.5/(127/.8)=9.4 d) Not sure where to start for this... I assume I need something that has rpm in it, and I have to use the moment of inertia somehow.