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Answer :
Width of runner = 2.667 in
Width of gate = 2 m
Explanation:
1 sprue
6 gates
3 runners
Gating ratio = 1:4:6
Bottom of sprue AS = 1 in 2
Width (b) of runner =?
Width (B) of gate =?
Height (H) of runner and gate = 0.5 in
All gates and runners and gate = 0.5 in
All gates and runners are equal
Now,
Gating ratio = AS : Ar : Ag
Where,
As= sprue area
Ar = runner area
Ag = gating area
1:4:6 = AS : Ar : Ag
Ar = 4As = 4 x 1= 4 in 2
Ag = 6 Ab = 6 x 1 = 6 in 2
Now,
Area of single runner is,
Ar/3= b x h
4/3 = b x 0.5
b = 2.667 in
Also, area of gate
Ag = 8 x h
6/6 = B x 0.5
B= 2 m
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