If α is the rake angle of the cutting tool, ϕ is the shear angle and v is the cutting velocity, then the velocity of chip sliding along the shear plane is given be

1
\(\frac{{v\cos \alpha }}{{\sin \left( {\phi + \alpha } \right)}}\)
2
\(\frac{{v\sin \alpha }}{{\sin \left( {\phi - \alpha } \right)}}\)
3
\(\frac{{v\sin \alpha }}{{\cos \left( {\phi - \alpha } \right)}}\)
4
\(\frac{{v\cos \alpha }}{{\cos \left( {\phi - \alpha } \right)}}\)

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