GATE Mechanical 2022 Set 1 | Question: 44

Question

Under orthogonal cutting condition, a turning operation is carried out on a metallic workpiece at a cutting speed of $4\; m/s$. The orthogonal rake angle of the cutting tool is $5^{\circ}$. The uncut chip thickness and width of cut are $0.2\; mm$ and $3\; mm$, respectively. In this turning operation, the resulting friction angle and shear angle are $45^{\circ}$ and $25^{\circ}$, respectively. If the dynamic yield shear strength of the workpiece material under this cutting condition is $1000$ $\text{MPa}$, then the cutting force is _________________ $N$ (round off to one decimal place).