GATE ME 2022 Set 2 — Question 54

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NAT+2 / -0HardConventional Machine ToolsMachining & Machine ToolsManufacturing Processes

Manufacturing Processes → Machining & Machine Tools → Conventional Machine Tools

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Question

A straight-teeth horizontal slab milling cutter is shown in the figure. It has 4 teeth and diameter (DD) of 200 mm. The rotational speed of the cutter is 100 rpm and the linear feed given to the workpiece is 1000 mm/minute. The width of the workpiece (ww) is 100 mm, and the entire width is milled in a single pass of the cutter. The cutting force/tooth is given by F=KtcwF = K t_c w, where specific cutting force K=10K = 10 N/mm2^2, ww is the width of cut, and tct_c is the uncut chip thickness.
The depth of cut (dd) is D/2D/2, and hence the assumption of dD1\frac{d}{D} \ll 1 is invalid. The maximum cutting force required is ________ kN (round off to one decimal place).
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