Diagram shows two shafts marked 1 and 2 of length 36 inches and 96 inches respectively. They are connected by two gears at B which has 24 teeth on the shaft 1 and at C which has 72 teeth on the shaft 2. The shaft 1 is connected to a motor at A. The shaft 2 has a gear at D on which a torque T subscript D is applied.

The rotation of gear D with respect to flange A is thus:

ϕ2=ϕD-ϕC   ϕD=ϕC+ϕ2          =0.016908 rad+0.052590 rad          =0.069498 rad=0.0695 rad

Finished