GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

A steel wire is drawn from an initial diameter $\left({\mathit{d}}_{\mathit{i}}\right)$ of $10\mathit{m}\mathit{m}$ to a final diameter $\left({\mathit{d}}_{\mathit{t}}\right)$ of $7.5\mathit{m}\mathit{m}$. The half cone angle $\left(\mathit{\alpha }\right)$ of the die is $5^{\circ }$ and the coefficient of friction $\left(\mathit{\mu }\right)$ between the die and the wire is $0.1.$ The average of the initial and final yield stress $\left[{\left({\mathit{\sigma }}_{\mathit{Y}}\right)}_{\mathit{a}\mathit{v}\mathit{g}}\right]$ is 350 MPa. The equation for drawing stress ${\mathit{\sigma }}_{{\mathit{t}}^{\prime }}$ (in MPa) is given as :The drawing stress (in MPa) required to carry out this operation is _________ (correct to two decimal places)