A rolling operation takes place under the conditions shown in Figure below. What is the position,
x_(n)
, of the neutral point? Note that there are front and back tensions that have not been specified. Additional data are as follows: Material is
5052-O
aluminum; hardened steel rolls; surface roughness of the rolls
=0.02\mu m
; rolling temperature
=210\deg C
, strength coefficient
202MPa
, and strain hardening parameter 0.13 . If the width is
20mm
and the roll rotates at
200rpm
, estimate the roll force and power needed. [8 points]