The lath machine in the university 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...

The lath machine in the university 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 sunwheel B.


Determine suitable number of teeth for all the wheels and the exact diameter of pitch circle of the ring.
1.1. Calculate the number of teeth of the ring gear D.
1.2. State an equation tha relate the number of teeth of gear D, B and C.
1.3. Use the table method to calculate the number of teeth of gear B.
1.4. Calculate the number of teeth for gear C.