A mild steel plate has to be rolled in one pass such that the final plate thickness is $$2/{3^{rd}}$$ of the initial thickness, with the entrance speed of $$10m/min$$ and roll diameter of $$500mm.$$ If the plate widens by $$2\% $$ during rolling, the exit velocity (in $$m/min$$) is ____________

Match the Machine Tools (Group A) with the probable Operations (Group B)

A hole of $$20$$ $$mm$$ diameter is to be drilled in a steel block of $$40$$ $$mm$$ thickness. The drilling is performed at rotational speed of $$400$$ $$rpm$$ and feed rate of $$0.1$$ $$mm/rev.$$ The required approach and over run of the drill together is equal to the radius of drill. The drilling time (in minute) is

A rectangular hole of size $$100\,\,mm \times 50\,\,mm$$ is to be made on a $$5$$ $$mm$$ thick sheet of steel having ultimate tensile strength and shear strength of $$500$$ $$MPa$$ and $$300$$ $$MPa,$$ respectively. The hole is made by punching process. Neglecting the effect of clearance, the punching force (in $$kN$$) is