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Question

A bar of 75 mm diameter is machined to reduce its diameter by orthogonal cutting. If the length of the cut chip is 73.5 mm and rake angle is 15, the shear plane angle is

A
16
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B
18
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C
23
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D
29
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Solution

The correct option is B 18
lc=73.5 mm

α=15

r=lcl=73.5πd=73.5π×75=0.31

ϕ=tan1(r cos α1r sin α)

=tan1(0.31cos1510.31sin15)

ϕ=18.03

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