Question
A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm3 . Neglect contribution of feed force towards power. The power required to carry out this operation is _________ kW (round off to one decimal place).
Answer :
Correct answer is : 31.416
specific energy U = 6 J/mm3, axial feed = 1 m/min = 1000/60 mm/sec
tube thickness t = 1mm, diameter = 100 mm
Area of cut = πdt = 3.14 × 100 × 1 = 314 mm2
Material removal rate = axial feed × area removed
MRR = 314 × 1000/60 mm3/s
Power = energy × MRR
Power = 6 × 314 × 1000/60 = 31400 J/s
P = 31.4 kW
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