A $$10mm$$ diameter annealed steel wire is drawn through a die at a speed of $$0.5/sec$$ to reduce the diameter by $$20\% $$. The yield stress of the material is $$800MPa.$$

The power required for the drawing process (in $$kW$$ ) is

By application of tensile force, the cross sectional area of bar $$' P '$$ is first reduced by $$30\% $$ and then by an additional $$20\% $$. Another bar $$'Q'$$ of the same material is reduced in cross sectional area by $$50\% $$ in a single step by applying tensile force. After deformation, the true strain in bar $$'P'$$ and bar $$'Q'$$ will, respectively, be

The following data are given for calculating limits of dimensions and tolerances for a hole: Tolerance unit $$'i'$$ (microns) $$=0.45$$ $${\left( D \right)^{1/3}} + 0.001D.$$ The unit of $$D$$ is $$mm.$$ Diameter step is $$18-30.$$ If the fundamental deviation for hole $$H$$ is zero and $${\rm I}T8 = 26i$$ the maximum and minimum limits of dimension for a $$25{H_8}$$ hole (in $$mm$$) are

An experimental setup is planned to determine the taper of work piece as shown in the figure. If the two precision rollers have radii $$8mm$$ and $$5mm$$ and the total thickness of slip gauges inserted between the rollers is $$15.54mm,$$ the taper angle $$'\theta '$$ is