For the gear and sprocket assembly analyzed in Prob. 3–77, p. 139, 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 kW is to operate at 191rev/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-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 EFG.
(d) Calculate the magnitudes of the radial, tangential, and total forces transmitted between gears F and C.