SI units$)$ In a turning operation, cutting speed $=1\mathrm{.}8\frac{m}{s},$ feed $=0\mathrm{.}30m\frac{m}{r}ev,$ and

depth of cut $=2\mathrm{.}6mm.$ Rake angle $=8.$ After the cut, the deformed chip thickness

$=0\mathrm{.}56mm.$ Use the orthogonal cutting model as an approximation of turning.

Determine:

$($a$)$ shear plane angle,

$($b$)$ shear strain, and

$($c$)$ material removal rate.