A straight-teeth horizontal slab milling cutter is shown in the figure. It has $4$ teeth and diameter $(D)$ of $200$ $\text{mm}$. The rotational speed of the cutter is $100$ $\text{rpm}$ and the linear feed given to the workpiece is $1000$ $\text{mm}$/minute. The width of the workpiece $(w)$ is $100$ $\text{mm}$, and the entire width is milled in a single pass of the cutter. The cutting force/tooth is given by $F = Kt_{c}w$, Where specific cutting force $K=10$ $\text{N/}mm^{2}$, $w$ is the width of cut, and $t_{c}$, is the uncut chip thickness.
The depth of cut $(d)$ is $D/2$, and hence the assumption of $\frac{d}{D}< < 1$ is invalid. The maximum cutting force required is _____________ $\text{kN}$ (round off to one decimal place).
