Answer: (D) Diameter of work piece = 50 mm Reduced diameter (d) = 30 mm Taper length (L) = 60 mm

Taper turning operation can be done using compound rest. For taper turning operation to be performed, we have to find out

(i) Taper in mm/meter and in degrees.

(ii) Angle to which compound rest should be set

(iii) Tail stock set over

1. Taper = (D-d)/L = (50-30)/60 = 20:60

It means that for a length of 60mm, taper is 20mm, then taper in mm/meter = (20/60) X 1000 = 333.33 mm/meter

1. Taper angle for compound rest setting $α = tan^{1}\frac{D-d}{2L}$

$ = tan^{1}\frac{50-30}{2 x 60}$

$=9.46^{o}$

Compound rest should be set at angle $α = 9.46^{o}$

1. Tail stock set over

Assuming length of bar is equal to length of taper

Tail stock set over = (D-d)/2

= (50-30)/2

= 10 mm