Find the number of turns and the number of the gears teeth o

Find the number of turns and the number of the gears’ teeth, of dividing
head, required to make;
(a) A bar of hexagonal cross section from a round bar.
(b) A gear of 48 teeth.
(c) A gear of 53 teeth.
(d) A gear of 227 teeth
The available change gears are; 24, 24, 28, 32, 36, 40, 44, 48, 56, 64, 72
teeth.
The available dividing plate has; 17, 19, 22, 24, 28 holes.   

the subject is Fundmentals of modern munfactuturing the topic is indexing

Solution

a) number ofturns = 4

number of gear teeth = 24

b) indexing = 40/N=40/48=5/6

number of gear teeth = 24

number of turns = 2

c) indexing = 40/N=40/53

no 53 hole circle so 48

number of gear teeth= 24

number of turns= 2 full turns and 5 turns on 24 holes

d) indexing = 40/227

no 227 hole circle

number of gear teeth= 72

number of turns = 3 hole and 18 turns on 24 holes