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Question

The following data are obtained during orthogonal machining with Merchants theory.

Ultimate shear strength of work material = 600 MPa,
Rake angle of the tool =6,
Coefficient of friction at chip tool interface =0.2,
Feed and depth of cut = 0.2 mm/rev and 3 mm respectively. Taylor's tool life equation is V.T0.4=100.

What is the Optimum cutting velocity during machining if machine hour rate is Rs. 75 and cost of regrinding the tool one time is Rs. 15?

A
161.8 m/min
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B
223.8 m/min
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C
31.5 m/min
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D
43.5 m/min
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Solution

The correct option is C 31.5 m/min
μ=0.2,α=6,

n=0.4,C=100

τultimate=600 MPa

f=0.2 mm/rev

d=3 mm

Vopt=C[n1nLmCg]n

=100⎢ ⎢ ⎢0.40.6756015⎥ ⎥ ⎥0.4

=31.46 m/min=31.5 m/min

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