Que $5$: A slot milling operation was performed using a milling cutter having two flutes or teeth and a diameter

of $6$ mm $.$ Each workpiece has one slot with a length of $100$ mm $.$ Following is the experimental data for slot

milling operation with spindle speed $(N),$ and number of workpieces $(W)$ before the tool change.

$($a$))$ Shop engineers feel that it will be more useful to get an equation between $W$ and N $.$ Suggest the form

of the equation and compute its coefficients. $[5]$

$($b$)$ Draw a graph to show the nature of the variation of the curve $($W$-$N$).$ Use Taylor's tool life equation $($

$VT=C).($where $V-\frac{m}{m}in,T-$min $).[5]$