$20$ points

A $150$ mm wide strip with an initial thickness of $10$ mm is fed through a rolling mill with

two powered rolls, each of radius $150$ mm $.$ The workpiece thickness is reduced to $8$ mm

in a single pass. The roll speed is $5$ revolutions per minute $($RPM$),$ and the coefficient of

friction between the rolls and the workpiece is $0\mathrm{.}20.$ The flow curve of the material is

defined by $K=100$MPa and $n=0\mathrm{.}1.$

Calculate:

The power needed to perform the rolling operation. in $($KW$)$