$2\mathrm{.}1$ A single pass rolling operation reduces a $18-mm-$thick plate to $15\mathrm{.}5mm.$ The starting plate is $200mm$ wide. Roll radius $=220mm$ and rotational speed $=45re\frac{v}{m}in.$ The work metal has a strength coefficient $=450$MPa and a strain hardening exponent $=0\mathrm{.}17.$ Determine the following;

$2\mathrm{.}1\mathrm{.}1$ roll force,

$(6)$

$2\mathrm{.}1\mathrm{.}2$ roll torque, and

$(2)$

$2\mathrm{.}1\mathrm{.}3$ power required for this operation

$(3)$