The lath machine in the Central University of Technology (CUT) mechanical workshop uses epicyclic gear train shown in Figure 1 to operate. Plate gear C of this gear system are carried on the arm A and...

The lath machine in the Central University of Technology (CUT) mechanical workshop uses epicyclic gear train shown in Figure 1 to operate. Plate gear C of this gear system are carried on the arm A and free to rotated. the pitch circle diameter of the internally toothed ring gear D is to be 214 mm and the module 4 mm. When the ring gear D is stationary, the arm A, which carries three planet wheels C of equal size, is to make one revolution in the same direction as the sun wheel B for every five revolutions of the driving spindle carrying the sun wheel B. Determine suitable number of teeth for all the wheels and the exact diameter of pitch circle of the ring.

Use the table method to calculate the number of teeth of gear B and calculate the number of teeth for gear C.