For the gear and sprocket assembly analyzed in Problem 3-88, information for the gear sizes and the forces transmitted through the gears was provided in the problem statement. In this problem, we will perform the preceding design steps necessary to acquire the information for the analysis. A motor providing $2 \mathrm{~kW}$ is to operate at $191 \mathrm{rev} / \mathrm{min}$. A gear unit is needed to reduce the motor speed by half to drive a chain sprocket.
(a) Specify appropriate numbers of teeth on gears $F$ and $C$ to minimize the size while avoiding the interference problem in the teeth.
(b) Assuming an initial guess of $125-\mathrm{mm}$ pitch diameter for gear $F$, what is the module that should be used for the stress analysis of the gear teeth?
(c) Calculate the input torque applied to shaft $E F G$.
(d) Calculate the magnitudes of the radial, tangential, and total forces transmitted between gears $F$ and $C$.