A seamless tube 32 mm outside diameter is turned on a lathe. Cutting velocity of the tool relative to the work piece is 10 m/min. Rake angle = 35°, depth of cut = 0.125 mm, length of chip 60 mm, horizontal cutting force of the tool on the work piece = 200 N, vertical cutting force required to hold the tool against the work=80 N. Calculate
(i) coefficient of friction
(ii) chip thickness ratio
(iii) shear plane angle
(iv) velocity of chip relative to the tool, and
(v) velocity of chip relative to the work piece .