Answer:
t=0.32 min
Explanation:
Given that
W= 2 in
L= 12 in
D= 3 in
Z= 12 teeth
Speed ,V= 444 SFM
We know that
1 SFM = 0.00508 m/s
So
444 SFM = 2.25 m/s
V= 2.25 m/s
1 m/s= 39.37 in/s
V =88.58 m/s
We know that
[tex]V=\dfrac{\pi DN}{60}[/tex]
[tex]N=\dfrac{60V}{\pi D}[/tex]
N=\dfrac{60\times 88.58}{\pi \times 3}
N=563.91 RPM
Compulsory approach ,X
[tex]X=\dfrac{1}{2}\left [ D^2-\sqrt{D^2-W^2} \right ][/tex]
[tex]X=\dfrac{1}{2}\left [ 3^2-\sqrt{3^2-2^2} \right ][/tex]
X=3.33 in
Machining time,t
[tex]t=\dfrac{L+X}{fZN}[/tex]
[tex]t=\dfrac{12+3.33}{0.007\times 12\times 563.91}[/tex]
t=0.32 min