QUESTION TWO

$($i$)$ A $150$ mm long stainless steel rod of $12\mathrm{.}7$ mm diameter is being turned to $12\mathrm{.}19$ mm on a centre lathe. The spindle speed being used is $400$ rpm and the feed rate is $203\mathrm{.}20m\frac{m}{m}in.$ The specific energy or unit power $(Pu)$ of stainless steel is $2\mathrm{.}8N.\frac{m}{m}{m}^3.$ Determine the following:

$($a$)$ Cutting speed, $V,$ in $\frac{m}{s}$

$[1$ Marks $]$

$($b$)$ Feed, $f,$ in $m\frac{m}{r}ev$

$[2$ Marks $]$

$($c$)$ Material removal rate, $MRR,$ in $m\frac{m^3}{m}in$

$[2$ Marks $]$

$($d$)$ Machining time, $T_m,$ in min.

$[2$ Marks$]$

$($e$)$ Power dissipated, $P,$ in watts.

$[2$ Marks $]$

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$($f$)$ Cutting force, $F_c,$ in newtons.

$[3$ Marks $],$

Hint: $,MRR=d.$ depth of cut $**D_{\text{a}\text{v}\text{g}\text{.}}.N$;$,T_m=\frac{L}{f{N}^{\text{'}}}$;$,P=P_{u}MRR$;$,F_c=\frac{2T}{D_{\text{a}\text{v}\text{g}}}$; cuiding