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...

State an equation tha relate the number of teeth of gear D, B and C.

Extracted text: 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 sunwheel B. Ring gear D Planet gear C Sun gear B Figure 1: An picyclic gear train of the lath machine Determine suitable number of teeth for all the wheels and the exact diameter of pitch circle of the ring.