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A $\text{200 mm}$ wide plate having a thickness of $\text{20 mm}$ is fed through a rolling mill with two rolls. The radius of each roll is $\text{300 mm}$. The plate thickness is to be reduced to $\text{18 mm}$ in one pass using a roll speed of $\text{50 rpm}$. The strength coefficient $\text{(K)}$ of the work material flow curve is $\text{300 MPa}$ and the strain hardening exponent, $\text{n}$ 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 _________ $\text{kN}$ ($\textit{round off to the nearest integer}$).
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