GATE 2021 ME (ME1) – Question 50

A 200 mm wide plate having a thickness of 20 mm is fed through a rolling mill with two rolls. The radius of each roll is 300 mm. The plate thickness is to be reduced to 18 mm in one pass using a roll speed of 50 rpm. The strength coefficient ($K$) of the work material flow curve is 300 MPa and the strain hardening exponent, $n$ is 0.2. The coefficient of friction between the rolls and the plate is 0.1. If the friction is sufficient to permit the rolling operation then the roll force will be _____ kN (round off to the nearest integer).