Question $4[10]$

A single rolling operation reduces an $18$ mm thick plate to $15\mathrm{.}5$ mm $.$ The starting plate is $200$ mm wide. Roll radius is $220$ mm and rotational speed is $45\frac{r}{m}in$ respectively.

The work metal has a strength coefficient of $450$ Mpa and a strain hardening exponent is $0\mathrm{.}17.$

Calculate:

$4\mathrm{.}1$ Roll force

$(5)$

$4\mathrm{.}2$ Roll torque

$(2)$

$4\mathrm{.}3$ Power required for this operation

$(3)$